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## Carl, Siegfried

Compute Distance To:
 Author ID: carl.siegfried Published as: Carl, Siegfried; Carl, S.
 Documents Indexed: 152 Publications since 1977, including 4 Books
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#### Co-Authors

 49 single-authored 41 Heikkilä, Seppo V. 24 Motreanu, Dumitru 16 Le, Vy Khoi 5 Costa, David Goldstein 5 Grossmann, Christian 5 Lakshmikantham, Vangipuram 5 Tehrani, Hossein Torabi 4 Jerome, Joseph W. 3 Candito, Pasquale 3 Livrea, Roberto 2 Kumpulainen, Martti 2 Perera, Kanishka 1 D’Ambrosio, Lorenzo 1 Dietrich, Helmut 1 Fotouhi, Morteza 1 Gilbert, Robert Pertsch 1 Griniari, Elena 1 Koponen, P. 1 Mitidieri, Enzo Luigi 1 Naniewicz, Zdzisław 1 Pao, Chia-Ven 1 Tietz, Christoph 1 Winkert, Patrick 1 Ye, Guoju
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#### Serials

 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Mathematical Analysis and Applications 9 Nonlinear Analysis. Theory, Methods & Applications 8 Applicable Analysis 8 Journal of Differential Equations 8 Differential and Integral Equations 5 Journal of Inequalities and Applications 4 Mathematische Nachrichten 4 Dynamic Systems and Applications 4 Nonlinear Studies 4 Advanced Nonlinear Studies 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Journal of Optimization Theory and Applications 3 Monatshefte für Mathematik 3 Communications on Applied Nonlinear Analysis 3 Nonlinear Analysis. Real World Applications 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear World 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Abstract and Applied Analysis 2 Complex Variables and Elliptic Equations 2 Pure and Applied Functional Analysis 2 Springer Monographs in Mathematics 1 Computers & Mathematics with Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Complex Variables. Theory and Application 1 Optimization 1 Mathematical and Computer Modelling 1 Journal of Global Optimization 1 Studia Universitatis Babeş-Bolyai. Mathematica 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg 1 Set-Valued Analysis 1 Nonlinear Times and Digest 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 International Journal of Applied Mathematics 1 Nonlinear Functional Analysis and Applications 1 Boundary Value Problems 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Calculus of Variations 1 Pacific Journal of Applied Mathematics 1 International Journal of Differential Equations
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#### Fields

 127 Partial differential equations (35-XX) 50 Operator theory (47-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 21 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 5 Functional analysis (46-XX) 3 Measure and integration (28-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

128 Publications have been cited 990 times in 512 Documents Cited by Year
Nonsmooth variational problems and their inequalities. Comparison principles and applications. Zbl 1109.35004
Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru
2007
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
2000
Extremal solutions of quasilinear parabolic inclusions with generalized Clarke’s gradient. Zbl 1042.35092
Carl, S.; Motreanu, D.
2003
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
2011
Sign-changing and multiple solutions for the $$p$$-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
2002
Existence of extremal solutions of boundary hemivariational inequalities. Zbl 1180.35255
Carl, S.
2001
Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. Zbl 1138.35075
Carl, Siegfried; Motreanu, Dumitru
2008
Existence and comparison principles for general quasilinear variational-hemivariational inequalities. Zbl 1061.49007
Carl, S.; Le, Vy K.; Motreanu, D.
2005
General comparison principle for quasilinear elliptic inclusions. Zbl 1152.35306
Carl, Siegfried; Motreanu, Dumitru
2009
The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations. Zbl 0832.35039
Carl, S.; Dietrich, H.
1995
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041
Carl, S.; Lakshmikantham, V.
2002
On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities. Zbl 0785.35034
Carl, Siegfried; Heikkilä, Seppo
1992
Evolutionary variational-hemivariational inequalities: Existence and comparison results. Zbl 1282.49006
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
2008
The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. Zbl 1164.35301
Carl, S.; Le, Vy K.; Motreanu, D.
2004
Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems. Zbl 1233.35090
Carl, S.
2006
An existence result for elliptic differential inclusions with discontinuous nonlinearity. Zbl 0755.35039
Carl, Siegfried; Heikkilä, Seppo
1992
Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities. Zbl 1319.35059
Carl, Siegfried; Le, Vy Khoi
2015
On the existence of extremal weak solutions for a class of quasilinear parabolic problems. Zbl 0805.35057
Carl, Siegfried
1993
On a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0726.35064
Carl, Siegfried; Heikkilä, Seppo
1990
Enclosure of solutions for quasilinear dynamic hemivariational inequalities. Zbl 0902.35065
Carl, Siegfried
1996
The monotone iterative technique for a parabolic boundary value problem with discontinuous nonlinearity. Zbl 0696.35083
Carl, Siegfried
1989
Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions. Zbl 1368.35147
Carl, Siegfried; Motreanu, Dumitru
2017
The sub- and supersolution method for variational-hemivariational inequalities. Zbl 1144.35391
Carl, Siegfried
2008
Elliptic equations with discontinuous nonlinearities in $$\mathbb{R}^N$$. Zbl 0908.35038
Carl, S.; Heikkilä, S.
1998
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
1999
On solvability of first order discontinuous scalar differential equations. Zbl 0829.34005
Carl, S.; Heikkilä, S.; Kumpulainen, M.
1995
Nonlinear elliptic differential inclusions governed by state-dependent subdifferentials. Zbl 0931.35203
Carl, S.; Heikkilä, S.; Lakshmikantham, V.
1995
Existence and monotone iterations for parabolic differential inclusions. Zbl 0857.35074
Carl, S.; Grossmann, Ch.; Pao, C. V.
1996
Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities. Zbl 1085.49009
Carl, S.; Le, Vy K.; Motreanu, D.
2005
Quasilinear parabolic variational inequalities with multi-valued lower-order terms. Zbl 1317.35137
Carl, Siegfried; Le, Vy K.
2014
Monotone enclosure for elliptic and parabolic systems wit nonmonotone nonlinearities. Zbl 0778.65074
Carl, S.; Grossmann, C.
1990
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
1998
Sub-supersolution method for quasilinear parabolic variational inequalities. Zbl 1044.49003
Carl, S.; Le, Vy K.
2004
Existence and comparison results for quasilinear evolution hemivariational inequalities. Zbl 1053.49005
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
2004
Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. Zbl 1160.35552
Carl, S.; Motreanu, D.
2003
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2016
Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. Zbl 1138.35012
Carl, Siegfried; Motreanu, Dumitru
2007
Elliptic variational inequalities with discontinuous multi-valued lower order terms. Zbl 1271.49006
Carl, Siegfried
2013
Equivalence of some multi-valued elliptic variational inequalities and variational-hemivariational inequalities. Zbl 1218.35109
Carl, Siegfried
2011
Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the $$p$$-Laplacian. Zbl 1212.35109
Carl, Siegfried; Motreanu, Dumitru
2007
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
2002
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
2009
Extremal solutions of parabolic hemivariational inequalities. Zbl 1042.35585
Carl, Siegfried
2001
Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials. Zbl 1325.35040
Carl, Siegfried; Motreanu, Dumitru
2015
Existence and extremal solutions of parabolic variational-hemivariational inequalities. Zbl 1277.35228
Carl, Siegfried
2013
Extremal and sign-changing solutions of supercritical logistic-type equations in $$\mathbb {R}^N$$. Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2015
Quasilinear elliptic equations with discontinuous nonlinearities in $$\mathbb{R}^N$$. Zbl 0895.35032
Carl, S.
1997
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
2000
Extremal solutions of quasilinear parabolic boundary value problems with discontinuous nonlinearities. Zbl 0803.35077
Carl, Siegfried; Heikkilä, Seppo
1994
Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations. Zbl 1300.35053
Candito, P.; Carl, S.; Livrea, R.
2014
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
2002
General comparison principle for variational-hemivariational inequalities. Zbl 1173.49008
Carl, Siegfried; Winkert, Patrick
2009
Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079
Carl, S.; Lakshmikantham, V.
2002
Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type. Zbl 1290.35140
Carl, Siegfried; Jerome, Joseph W.
2002
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
2003
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
2004
Enclosure results for quasilinear systems of variational inequalities. Zbl 1049.49004
Carl, S.; Le, Vy K.
2004
A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms. Zbl 0661.65126
Carl, S.
1988
Ein konstruktiver Existenzsatz für Randwertprobleme elliptischer Differentialgleichungen zweiter Ordnung mit unstetiger Nichtlinearität. (A constructive existence theorem for boundary value problems of second order elliptic differential equations with discontinuous nonlinearity). Zbl 0666.35032
Carl, S.
1988
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
2000
Multiple and sign-changing solutions for the multivalued $$p$$-Laplacian equation. Zbl 1194.35522
Carl, Siegfried; Motreanu, Dumitru
2010
Extremal solutions of $$p$$-Laplacian problems in $$D^{1, p}(\mathbb{R}^N)$$ via Wolff potential estimates. Zbl 1375.35223
Carl, Siegfried
2017
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
2005
Barrier solutions of elliptic variational inequalities. Zbl 1330.35184
Carl, Siegfried
2015
Sub-supersolution method for multi-valued elliptic and evolution problems. Zbl 1387.35305
Carl, Siegfried; Motreanu, Dumitru
2010
Existence and comparison results for variational-hemivariational inequalities. Zbl 1080.49007
Carl, S.
2005
Variational approach to noncoercive systems of elliptic variational inequalities via trapping region. Zbl 1237.35078
Carl, Siegfried
2012
Vector quasi-hemivariational inequalities and discontinuous elliptic systems. Zbl 1090.49005
Carl, S.; Naniewicz, Z.
2006
Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. Zbl 1304.35375
Carl, Siegfried; Le, Vy Khoi
2014
On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities. Zbl 0779.35039
Carl, Siegfried; Heikkilä, Seppo; Kumpulainen, Martti
1993
Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087
Carl, S.; Lakshmikantham, V.
2001
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
2002
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
2002
A combined variational-monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity. Zbl 0713.35032
Carl, Siegfried
1992
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
2001
Quasilinear elliptic inclusions of Clarke’s gradient type under local growth conditions. Zbl 1156.35494
Carl, S.; Motreanu, D.
2006
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
2008
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
2005
Generalized solutions of singular $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
2011
Multiple solutions of quasilinear periodic-parabolic inclusions. Zbl 1184.35170
Carl, Siegfried
2010
Existence results for hemivariational inequalities with measures. Zbl 1197.35102
Carl, Siegfried; Le, Vy. K.
2007
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
2006
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
2009
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
1998
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
1999
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
2003
A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities. Zbl 1058.35134
Carl, Siegfried
2001
Extremal solutions of logistic-type equations in exterior domain in $$\mathbb{R}^2$$. Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer on manifolds and multiple solutions for zero-mass equations in $$\mathbb{R}^N$$. Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles. Zbl 1246.35094
Candito, P.; Carl, S.; Livrea, R.
2012
$$p$$-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2008
Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation. Zbl 1066.35012
Carl, S.; Jerome, J. W.
2004
Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem. Zbl 1231.35082
Carl, Siegfried
2011
Sign-changing solutions for nonlinear elliptic problems depending on parameters. Zbl 1207.35287
Carl, Siegfried; Motreanu, Dumitru
2010
Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators. Zbl 1308.35113
Carl, Siegfried
2013
On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008
Carl, S.; Heikkilä, S.
1998
Comparison principle for quasilinear parabolic inclusions with Clarke’s gradient. Zbl 1222.35049
Carl, Siegfried; Motreanu, Dumitru
2009
An enclosing theorem and a monotone iterative scheme for elliptic systems having nonmonotone nonlinearities. Zbl 0786.35050
Carl, S.
1990
Leray-Lions operators perturbed by state-dependent subdifferentials. Zbl 0892.35060
Carl, Siegfried
1996
Extremal solutions for quasilinear elliptic inclusions in all of $$\mathbb{R}^N$$ with state-dependent subdifferentials. Zbl 0970.47034
Carl, S.
2000
Extremal solutions of logistic-type equations in exterior domain in $$\mathbb{R}^2$$. Zbl 1401.35115
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer on manifolds and multiple solutions for zero-mass equations in $$\mathbb{R}^N$$. Zbl 1394.35153
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2018
Quasilinear elliptic equations with measures and multi-valued lower order terms. Zbl 1386.35506
Carl, Siegfried; Tietz, Christoph
2018
Decay estimates for Wolff potentials in $$\mathbb{R}^N$$ and gradient-dependent quasilinear elliptic equations. Zbl 1401.35129
Carl, Siegfried
2018
Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions. Zbl 1368.35147
Carl, Siegfried; Motreanu, Dumitru
2017
Extremal solutions of $$p$$-Laplacian problems in $$D^{1, p}(\mathbb{R}^N)$$ via Wolff potential estimates. Zbl 1375.35223
Carl, Siegfried
2017
$$\mathcal{D}^{1,2}(\mathbb{R}^N)$$ versus $$C(\mathbb{R}^N)$$ local minimizer and a Hopf-type maximum principle. Zbl 1342.35092
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2016
Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities. Zbl 1319.35059
Carl, Siegfried; Le, Vy Khoi
2015
Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials. Zbl 1325.35040
Carl, Siegfried; Motreanu, Dumitru
2015
Extremal and sign-changing solutions of supercritical logistic-type equations in $$\mathbb {R}^N$$. Zbl 1335.35031
Carl, Siegfried; Costa, David G.; Tehrani, Hossein
2015
Barrier solutions of elliptic variational inequalities. Zbl 1330.35184
Carl, Siegfried
2015
Quasilinear parabolic variational inequalities with multi-valued lower-order terms. Zbl 1317.35137
Carl, Siegfried; Le, Vy K.
2014
Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations. Zbl 1300.35053
Candito, P.; Carl, S.; Livrea, R.
2014
Multi-valued parabolic variational inequalities and related variational-hemivariational inequalities. Zbl 1304.35375
Carl, Siegfried; Le, Vy Khoi
2014
Elliptic variational inequalities with discontinuous multi-valued lower order terms. Zbl 1271.49006
Carl, Siegfried
2013
Existence and extremal solutions of parabolic variational-hemivariational inequalities. Zbl 1277.35228
Carl, Siegfried
2013
Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators. Zbl 1308.35113
Carl, Siegfried
2013
Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems. Zbl 1303.35042
Candito, P.; Carl, S.; Livrea, R.
2013
Variational approach to noncoercive systems of elliptic variational inequalities via trapping region. Zbl 1237.35078
Carl, Siegfried
2012
Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles. Zbl 1246.35094
Candito, P.; Carl, S.; Livrea, R.
2012
Addendum to: “Variational approach to noncoercive systems of elliptic variational inequalities via trapping region”. Zbl 1250.35116
Carl, Siegfried
2012
Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. Zbl 1209.47001
Carl, Siegfried; Heikkilä, Seppo
2011
Equivalence of some multi-valued elliptic variational inequalities and variational-hemivariational inequalities. Zbl 1218.35109
Carl, Siegfried
2011
Generalized solutions of singular $$p$$-Laplacian problems in $$\mathbb R^N$$. Zbl 1217.35083
Carl, Siegfried; Perera, Kanishka
2011
Parameter-dependent variational-hemivariational inequalities and an unstable degenerate elliptic free boundary problem. Zbl 1231.35082
Carl, Siegfried
2011
Multiple and sign-changing solutions for the multivalued $$p$$-Laplacian equation. Zbl 1194.35522
Carl, Siegfried; Motreanu, Dumitru
2010
Sub-supersolution method for multi-valued elliptic and evolution problems. Zbl 1387.35305
Carl, Siegfried; Motreanu, Dumitru
2010
Multiple solutions of quasilinear periodic-parabolic inclusions. Zbl 1184.35170
Carl, Siegfried
2010
Sign-changing solutions for nonlinear elliptic problems depending on parameters. Zbl 1207.35287
Carl, Siegfried; Motreanu, Dumitru
2010
Directedness of solution set for some quasilinear multi-valued parabolic problems. Zbl 1183.35281
Carl, Siegfried; Motreanu, Dumitru
2010
General comparison principle for quasilinear elliptic inclusions. Zbl 1152.35306
Carl, Siegfried; Motreanu, Dumitru
2009
Fixed point theorems in ordered Banach spaces via quasilinearization. Zbl 1215.47045
Lakshmikantham, V.; Carl, S.; Heikkilä, S.
2009
General comparison principle for variational-hemivariational inequalities. Zbl 1173.49008
Carl, Siegfried; Winkert, Patrick
2009
Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction. Zbl 1163.35341
Carl, Siegfried; Heikkilä, Seppo
2009
Comparison principle for quasilinear parabolic inclusions with Clarke’s gradient. Zbl 1222.35049
Carl, Siegfried; Motreanu, Dumitru
2009
Order properties of spaces of non-absolutely integrable vector-valued functions and applications to differential equations. Zbl 1240.26012
Carl, S.; Heikkilä, S.; Ye, Guoju
2009
Constant-sign and sign-changing solutions for nonlinear eigenvalue problems. Zbl 1138.35075
Carl, Siegfried; Motreanu, Dumitru
2008
Evolutionary variational-hemivariational inequalities: Existence and comparison results. Zbl 1282.49006
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
2008
The sub- and supersolution method for variational-hemivariational inequalities. Zbl 1144.35391
Carl, Siegfried
2008
Nonsmooth, nonlocal and implicit differential equations in lattice-ordered Banach spaces. Zbl 1170.34006
Carl, S.; Heikkilä, S.
2008
$$p$$-Laplacian inclusions via fixed points for multifunctions in posets. Zbl 1166.35388
Carl, Siegfried; Heikkilä, Seppo
2008
Nonsmooth variational problems and their inequalities. Comparison principles and applications. Zbl 1109.35004
Carl, Siegfried; Le, Vy Khoi; Motreanu, Dumitru
2007
Sign-changing and extremal constant-sign solutions of nonlinear elliptic problems with supercritical nonlinearities. Zbl 1138.35012
Carl, Siegfried; Motreanu, Dumitru
2007
Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the $$p$$-Laplacian. Zbl 1212.35109
Carl, Siegfried; Motreanu, Dumitru
2007
Existence results for hemivariational inequalities with measures. Zbl 1197.35102
Carl, Siegfried; Le, Vy. K.
2007
Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems. Zbl 1233.35090
Carl, S.
2006
Vector quasi-hemivariational inequalities and discontinuous elliptic systems. Zbl 1090.49005
Carl, S.; Naniewicz, Z.
2006
Quasilinear elliptic inclusions of Clarke’s gradient type under local growth conditions. Zbl 1156.35494
Carl, S.; Motreanu, D.
2006
Existence results for nonlocal and nonsmooth hemivariational inequalities. Zbl 1155.35049
Carl, S.; Heikkilä, S.
2006
Existence and comparison principles for general quasilinear variational-hemivariational inequalities. Zbl 1061.49007
Carl, S.; Le, Vy K.; Motreanu, D.
2005
Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities. Zbl 1085.49009
Carl, S.; Le, Vy K.; Motreanu, D.
2005
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems. Zbl 1108.34020
Carl, S.; Heikkilä, S.
2005
Existence and comparison results for variational-hemivariational inequalities. Zbl 1080.49007
Carl, S.
2005
Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces. Zbl 1159.34338
Carl, Siegfried; Heikkilä, S.
2005
The sub-supersolution method and extremal solutions for quasilinear hemivariational inequalities. Zbl 1164.35301
Carl, S.; Le, Vy K.; Motreanu, D.
2004
Sub-supersolution method for quasilinear parabolic variational inequalities. Zbl 1044.49003
Carl, S.; Le, Vy K.
2004
Existence and comparison results for quasilinear evolution hemivariational inequalities. Zbl 1053.49005
Carl, Siegfried; Le, Vy K.; Motreanu, Dumitru
2004
Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations. Zbl 1063.47052
Carl, S.; Heikkilä, S.
2004
Enclosure results for quasilinear systems of variational inequalities. Zbl 1049.49004
Carl, S.; Le, Vy K.
2004
Drift-diffusion in electrochemistry: thresholds for boundary flux and discontinuous optical generation. Zbl 1066.35012
Carl, S.; Jerome, J. W.
2004
Extremality in solving general quasilinear parabolic inclusions. Zbl 1069.35028
Carl, S.; Motreanu, D.
2004
Monotone penalty approximation of extremal solutions for quasilinear noncoercive variational inequalities. Zbl 1048.49005
Carl, S.; Le, Vy K.
2004
Extremal solutions of quasilinear parabolic inclusions with generalized Clarke’s gradient. Zbl 1042.35092
Carl, S.; Motreanu, D.
2003
Quasilinear elliptic inclusions of hemivariational type: extremality and compactness of the solution set. Zbl 1160.35552
Carl, S.; Motreanu, D.
2003
Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP’s. Zbl 1071.35052
Carl, S.; Heikkilä, S.
2003
Trapping regions for discontinuously coupled systems of evolution variational inequalities and application. Zbl 1026.35058
Carl, S.; Heikkilä, S.; Jerome, J. W.
2003
Existence results for implicit functional evolution equations and parabolic IBVP’s. Zbl 1053.34057
Carl, S.; Heikkilä, S.
2003
Extremal solutions of quasilinear parabolic subdifferential inclusions. Zbl 1036.35112
Carl, Siegfried; Motreanu, Dumitru
2003
Sign-changing and multiple solutions for the $$p$$-Laplacian. Zbl 1106.35308
Carl, Siegfried; Perera, Kanishka
2002
Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions. Zbl 1010.65041
Carl, S.; Lakshmikantham, V.
2002
Extremal solutions of a class of dynamic boundary hemivariational inequalities. Zbl 1012.35052
Carl, Siegfried; Gilbert, R. P.
2002
Existence results for implicit functional parabolic problems. Zbl 1029.35123
Carl, S.; Heikkilä, S.
2002
Generalized quasilinearization and semilinear parabolic problems. Zbl 1011.35079
Carl, S.; Lakshmikantham, V.
2002
Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type. Zbl 1290.35140
Carl, Siegfried; Jerome, Joseph W.
2002
Existence of solutions for discontinuous functional equations and elliptic boundary-value problems. Zbl 1001.35044
Carl, Siegfried; Heikkilä, Seppo
2002
Existence results for equations in ordered Hilbert spaces and elliptic BVP’s. Zbl 1040.35025
Carl, S.; Heikkilä, S.
2002
Existence of extremal solutions of boundary hemivariational inequalities. Zbl 1180.35255
Carl, S.
2001
Extremal solutions of parabolic hemivariational inequalities. Zbl 1042.35585
Carl, Siegfried
2001
Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type. Zbl 0984.35087
Carl, S.; Lakshmikantham, V.
2001
Operator equations in orderd sets and discontinuous implicit parabolic equations. Zbl 0974.35062
Carl, S.; Heikkilä, S.
2001
A survey of recent results on the enclosure and extremality of solutions for quasilinear hemivariational inequalities. Zbl 1058.35134
Carl, Siegfried
2001
Extremal solutions of hemivariational inequalities with D. C. -superpotentials. Zbl 0997.49010
Carl, Siegfried
2001
Nonlinear differential equations in ordered spaces. Zbl 0948.34001
Carl, S.; Heikkilä, S.
2000
On discontinuous implicit and explicit abstract impulsive boundary value problems. Zbl 0985.34050
Carl, S.; Heikkila, S.
2000
Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions. Zbl 0973.35122
Carl, S.; Heikkilä, S.
2000
Extremal solutions for quasilinear elliptic inclusions in all of $$\mathbb{R}^N$$ with state-dependent subdifferentials. Zbl 0970.47034
Carl, S.
2000
Extremality results for first-order discontinuous functional differential equations. Zbl 0960.34053
Carl, S.; Heikkilä, S.
2000
Operator and differential equations in ordered spaces. Zbl 0936.47042
Carl, S.; Heikkilä, S.
1999
On first order discontinuous implicit boundary value problems. Zbl 0954.34051
Carl, S.; Heikkilä, S.; Koponen, P.
1999
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions. Zbl 0981.34051
Carl, S.; Heikkilä, S.
1999
Elliptic equations with discontinuous nonlinearities in $$\mathbb{R}^N$$. Zbl 0908.35038
Carl, S.; Heikkilä, S.
1998
On discontinuous first-order implicit boundary value problems. Zbl 0921.34019
Carl, S.; Heikkilä, S.
1998
On discontinuous implicit evolution equations. Zbl 0909.34050
Carl, S.; Heikkilä, S.
1998
On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions. Zbl 0932.34008
Carl, S.; Heikkilä, S.
1998
A free boundary problem for quasilinear elliptic equations in exterior domains. Zbl 1005.35091
Carl, S.; Heikkilä, S.
1998
Discontinuous implicit elliptic boundary value problems. Zbl 1064.35509
Carl, S.; Heikkilä, S.
1998
Quasilinear elliptic equations with discontinuous nonlinearities in $$\mathbb{R}^N$$. Zbl 0895.35032
Carl, S.
1997
On a second order discontinuous implicit boundary value problem. Zbl 0888.34016
Carl, S.; Heikkilä, S.
1997
An extremality result for quasilinear elliptic equations in $$\mathbb{R}^N$$. Zbl 0891.35005
Carl, S.
1997
Existence of extremal periodic solutions for quasilinear parabolic equations. Zbl 0942.35014
Carl, Siegfried
1997
...and 28 more Documents
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#### Cited by 439 Authors

 73 Carl, Siegfried 46 Heikkilä, Seppo V. 44 Motreanu, Dumitru 29 Le, Vy Khoi 27 Papageorgiou, Nikolaos S. 17 Liu, Zhenhai 17 Migórski, Stanisław 12 Huang, Nan-Jing 11 Han, Weimin 11 Marano, Salvatore Angelo 11 Xiao, Yibin 10 Alves, Claudianor Oliveira 10 O’Regan, Donal 10 Peng, Zijia 9 Cabada, Alberto 9 Winkert, Patrick 8 Agarwal, Ravi P. 8 Ochal, Anna 7 Tang, Guoji 6 Asfaw, Teffera M. 6 Cid, José Ángel 6 Costa, David Goldstein 6 Jerome, Joseph W. 6 Kelevedjiev, Petio S. 6 Zeng, Shengda 5 Eberl, Hermann J. 5 Gasiński, Leszek 5 Abreu Goncalves, Jose Valdo 5 Kumpulainen, Martti 5 Lakshmikantham, Vangipuram 5 López Pouso, Rodrigo 5 Motreanu, Viorica Venera 5 Moussaoui, Abdelkrim 5 Pouso, Rodrigo L. 5 Staicu, Vasile 5 Tanaka, Mieko 5 Tehrani, Hossein Torabi 4 Dong, Ge 4 Fang, Xiaochun 4 Fiacca, Antonella 4 Grossmann, Christian 4 Kalita, Piotr 4 Németh, Sándor Zoltán 4 Potapov, Dmitriĭ Konstantinovich 4 Santos, Jefferson Abrantes 4 Sun, Mingzheng 4 Tornatore, Elisabetta 3 Alfuraidan, Monther Rashed 3 Ambrazevičius, Algirdas 3 Chadli, Ouayl 3 Cheng, Yi 3 Dhage, Bapurao C. 3 Gaebler, Harry J. 3 Han, Jiangfeng 3 Iannizzotto, Antonio 3 Khamsi, Mohamed Amine 3 Lan, Hengyou 3 Li, Xiuwen 3 Miettinen, Markku 3 Nguyen Bich Huy 3 Pavlenko, Vyacheslav Nikolaevich 3 Rocha, Eugénio A. M. 3 Sapa, Lucjan 3 Schmitt, Klaus 3 Skakauskas, Vladas 3 Slavík, Antonín 3 Slodička, Marián 3 Sofonea, Mircea 3 Vetro, Calogero 3 Vetro, Francesca 3 Wang, Yuandi 3 Wang, Zhongbao 3 Xue, Xiaoping 3 Yao, Jen-Chih 3 Zeng, Biao 2 Alphonse, Amal 2 Arutyunov, Aram Vladimirovic 2 Averna, Diego 2 Bai, Yunru 2 Bartosz, Krzysztof 2 Bertone, Ana Maria 2 Bin, Maojun 2 Bonanno, Gabriele 2 Boucherif, Abdelkader 2 Boulaaras, Salah Mahmoud 2 Bożek, Bogusław 2 Candito, Pasquale 2 Carvalho, Marcos L. M. 2 Casal, Alfonso C. 2 Cui, Yi-shun 2 Danielewski, Marek 2 Dehilis, Sofiane 2 Diaz Diaz, Jesus Ildefonso 2 Elliott, Charles M. 2 Faraci, Francesca 2 Filippakis, Michael E. 2 Gao, Wenjie 2 Guarnotta, Umberto 2 He, Tieshan 2 Huang, Yong ...and 339 more Authors
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#### Cited in 125 Serials

 82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 56 Journal of Mathematical Analysis and Applications 20 Journal of Differential Equations 18 Applicable Analysis 14 Applied Mathematics and Computation 14 Journal of Optimization Theory and Applications 13 Nonlinear Analysis. Theory, Methods & Applications 11 Nonlinear Analysis. Real World Applications 10 Journal of Computational and Applied Mathematics 9 Monatshefte für Mathematik 9 Journal of Global Optimization 9 Abstract and Applied Analysis 8 Fixed Point Theory and Applications 8 Boundary Value Problems 7 Proceedings of the American Mathematical Society 6 Computers & Mathematics with Applications 6 Numerical Functional Analysis and Optimization 6 Applied Mathematics Letters 6 Calculus of Variations and Partial Differential Equations 6 Advanced Nonlinear Studies 6 Journal of Fixed Point Theory and Applications 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Acta Applicandae Mathematicae 5 Journal of Inequalities and Applications 5 Complex Variables and Elliptic Equations 5 Set-Valued and Variational Analysis 4 Bulletin of the Australian Mathematical Society 4 Results in Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Differential Equations 4 Journal of Function Spaces 3 Mathematical Methods in the Applied Sciences 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Nachrichten 3 Optimization 3 SIAM Journal on Mathematical Analysis 3 Set-Valued Analysis 3 Differential Equations and Dynamical Systems 3 Advances in Difference Equations 3 Optimization Letters 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Bulletin of Mathematical Biology 2 Czechoslovak Mathematical Journal 2 Glasgow Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 SIAM Journal on Control and Optimization 2 Tohoku Mathematical Journal. Second Series 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 NoDEA. Nonlinear Differential Equations and Applications 2 Complexity 2 Doklady Mathematics 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 The ANZIAM Journal 2 Journal of Applied Mathematics 2 Central European Journal of Mathematics 2 Mediterranean Journal of Mathematics 2 Advances in Nonlinear Analysis 2 Minimax Theory and its Applications 2 SN Partial Differential Equations and Applications 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Applied Mathematics and Optimization 1 BIT 1 Journal of Functional Analysis 1 Journal of Mathematical Economics 1 Mathematische Annalen 1 Numerische Mathematik 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Numerical Analysis 1 Theoretical Computer Science 1 Tokyo Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Revista Matemática Iberoamericana 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Formal Methods in System Design 1 Topological Methods in Nonlinear Analysis 1 Computational and Applied Mathematics 1 Journal of Convex Analysis 1 Sbornik: Mathematics ...and 25 more Serials
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#### Cited in 36 Fields

 312 Partial differential equations (35-XX) 154 Operator theory (47-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 92 Ordinary differential equations (34-XX) 38 Numerical analysis (65-XX) 28 Global analysis, analysis on manifolds (58-XX) 24 Mechanics of deformable solids (74-XX) 17 Operations research, mathematical programming (90-XX) 13 Real functions (26-XX) 13 Functional analysis (46-XX) 12 General topology (54-XX) 11 Biology and other natural sciences (92-XX) 11 Systems theory; control (93-XX) 8 Integral equations (45-XX) 7 Fluid mechanics (76-XX) 5 Probability theory and stochastic processes (60-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)