# zbMATH — the first resource for mathematics

## Differential and Integral Equations

### An International Journal for Theory & Applications

 Short Title: Differ. Integral Equ. Publisher: Khayyam Publishing Company, Athens, OH ISSN: 0893-4983 Online: http://projecteuclid.org/info/euclid.diehttp://www.aftabi.com/DIE.html Comments: Indexed cover-to-cover
 Documents Indexed: 2,200 Publications (since 1988) References Indexed: 53 Publications with 53 References.
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#### Authors

 16 Shivaji, Ratnasingham 13 Dancer, Edward Norman 13 Hayashi, Nakao 12 Barbu, Viorel 11 Favini, Angelo 11 Ozawa, Tohru 10 Gossez, Jean-Pierre 10 López-Gómez, Julián 9 Guo, Boling 9 Kaikina, Elena Igorevna 9 Rossi, Julio Daniel 9 Suzuki, Takashi 9 Zanolin, Fabio 8 Carl, Siegfried 8 Fan, Jishan 8 Fujita, Yasuhiro 8 Galaktionov, Victor Aleksandrovich 8 Naumkin, Pavel Ivanovich 8 Papageorgiou, Nikolaos S. 8 Peletier, Lambertus Adrianus 8 Rakotoson, Jean-Michel 8 Schmitt, Klaus 7 Boccardo, Lucio 7 Da Prato, Giuseppe 7 Kwong, Man Kam 7 Lorenzi, Alfredo 7 Manasevich, Raul F. 7 Perla Menzala, Gustavo Alberto 7 Triggiani, Roberto 6 Alves, Claudianor Oliveira 6 Cavalcanti, Marcelo Moreira 6 Dinca, George 6 Du, Yihong 6 Fleckinger, Jacqueline 6 Gazzola, Filippo 6 Heikkilä, Seppo V. 6 Ikehata, Ryo 6 Kenig, Carlos Eduardo 6 McLeod, John Bryce 6 Mitidieri, Enzo Luigi 6 Ogawa, Takayoshi 6 Pucci, Patrizia 6 Ramaswamy, Mythily 6 Renardy, Michael 6 Thieme, Horst R. 5 Ambrosetti, Antonio 5 Arcoya, David 5 Arino, Ovide 5 Brown, Kenneth J. 5 Sobreira de Araujo Corrêa, Francisco Julio 5 de Thélin, François 5 Domingos Cavalcanti, Valéria Neves 5 Erbe, Lynn Harry 5 Ferreira, Lucas Catão de Freitas 5 Gesztesy, Fritz 5 Giga, Yoshikazu 5 Goldstein, Jerome Arthur 5 Goubet, Olivier 5 Greco, Luigi 5 Gyori, Istvan 5 Hinton, Don Barker 5 Ishii, Hitoshi 5 Ladas, Gerasimos E. 5 Lasiecka, Irena 5 Machihara, Shuji 5 Mawhin, Jean L. 5 Miyagaki, Olimpio Hiroshi 5 Motreanu, Dumitru 5 Muñoz Rivera, Jaime Edilberto 5 Ortega, Rafael 5 Pistoia, Angela 5 Santos, Mauro Lima 5 Serrin, James 5 Shibata, Tetsutaro 5 Showalter, Ralph E. 5 Simonett, Gieri 5 Spigler, Renato 5 Takáč, Peter 5 Takamura, Hiroyuki 5 Tataru, Daniel 5 Temam, Roger Meyer 5 Tsutsumi, Yoshio 5 Vandervorst, Robertus C. A. M. 5 Vazquez, Juan Luis 5 Wake, Graeme Charles 5 Yanagida, Eiji 4 Aassila, Mohammed 4 Angeloni, Laura 4 Angulo Pava, Jaime 4 Battelli, Flaviano 4 Binding, Paul Anthony 4 Bona, Jerry Lloyd 4 Bonanno, Gabriele 4 Bressan, Alberto 4 Charão, Ruy Coimbra 4 Chhetri, Maya 4 Cieutat, Philippe 4 Clément, Philippe J. E. 4 Colli, Pierluigi 4 Daners, Daniel ...and 2,300 more Authors
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#### Fields

 1,628 Partial differential equations (35-XX) 506 Ordinary differential equations (34-XX) 265 Operator theory (47-XX) 168 Fluid mechanics (76-XX) 139 Calculus of variations and optimal control; optimization (49-XX) 119 Global analysis, analysis on manifolds (58-XX) 108 Dynamical systems and ergodic theory (37-XX) 104 Integral equations (45-XX) 80 Biology and other natural sciences (92-XX) 75 Systems theory; control (93-XX) 68 Mechanics of deformable solids (74-XX) 46 Functional analysis (46-XX) 44 Probability theory and stochastic processes (60-XX) 36 Real functions (26-XX) 30 Differential geometry (53-XX) 30 Numerical analysis (65-XX) 27 Mechanics of particles and systems (70-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 24 Quantum theory (81-XX) 23 Classical thermodynamics, heat transfer (80-XX) 23 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Potential theory (31-XX) 13 Optics, electromagnetic theory (78-XX) 11 Geophysics (86-XX) 9 Approximations and expansions (41-XX) 7 Measure and integration (28-XX) 6 Special functions (33-XX) 6 Algebraic topology (55-XX) 5 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 5 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 General topology (54-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

1,776 Publications have been cited 16,217 times in 13,221 Documents Cited by Year
Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping. Zbl 0803.35088
Lasiecka, I.; Tataru, D.
1993
A few remarks on the Camassa-Holm equation. Zbl 1161.35329
Danchin, Raphaël
2001
Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems. Zbl 0729.35062
Amann, Herbert
1990
Homoclinic orbits for a class of Hamiltonian systems. Zbl 0759.58018
Omana, W.; Willem, M.
1992
Non-existence of positive solutions of Lane-Emden systems. Zbl 0868.35032
Serrin, James; Zou, Henghui
1996
Semiflows generated by Lipschitz perturbations of non-densely defined operators. Zbl 0734.34059
Thieme, Horst R.
1990
Nonexistence of positive solutions of semilinear elliptic systems in $$\mathbb{R}^ N$$. Zbl 0848.35034
Mitidieri, Enzo
1996
On fourth order boundary value problems arising in beam analysis. Zbl 0715.34032
Agarwal, Ravi P.
1989
Asymptotic behavior of solutions of boundary blow-up problems. Zbl 0811.35010
Lazer, A. C.; McKenna, P. J.
1994
Oscillation of discrete analogues of delay equations. Zbl 0723.39004
Erbe, L. H.; Zhang, B. G.
1989
Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping. Zbl 1161.35437
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Prates Filho, J. S.; Soriano, J. A.
2001
Evolution operators and strong solutions of abstract linear parabolic equations. Zbl 0723.34046
Acquistapace, Paolo
1988
Stabilization of the wave equation with boundary or internal distributed delay. Zbl 1224.35247
Nicaise, Serge; Pignotti, Cristina
2008
Non-uniform dependence on initial data for the CH equation on the line. Zbl 1240.35242
Himonas, A. Alexandrou; Kenig, Carlos
2009
Uniqueness of the positive solution of $$\Delta u+f(u)=0$$ in an annulus. Zbl 0724.34023
Kwong, Man Kam; Zhang, Liqun
1991
On the global well-posedness of the Benjamin-Ono equation. Zbl 0732.35038
Ponce, Gustavo
1991
Global existence in sub-critical cases and finite time blow-up in super-critical cases to degenerate Keller-Segel systems. Zbl 1212.35240
Sugiyama, Yoshie
2006
The maximum principle for cooperative weakly coupled elliptic systems and some applications. Zbl 0827.35019
López-Gómez, Julián; Molina-Meyer, Marcela
1994
On the closed solution to some nonhomogeneous eigenvalue problem with $$p$$-Laplacian. Zbl 1015.34071
Drábek, Pavel; Manásevich, Raúl
1999
Minimizing total variation flow. Zbl 1020.35037
Andreu, F.; Ballester, C.; Caselles, V.; Mazón, J. M.
2001
On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions. Zbl 0809.35031
Struwe, Michael
1994
Semilinear Dirichlet problems for the $$N$$-Laplacian in $$\mathbb{R}^ N$$ with nonlinearities in the critical growth range. Zbl 0858.35043
Bezerra do Ó, João Marcos
1996
Nonlinear Schrödinger equations with vanishing and decaying potentials. Zbl 1210.35087
Ambrosetti, A.; Wang, Z.-Q.
2005
The Cauchy problem for an integrable shallow-water equation. Zbl 1009.35075
Himonas, A. Alexandrou; Misiołek, Gerard
2001
Semilinear elliptic equations with dependence on the gradient via mountain-pass techniques. Zbl 1164.35341
de Figueiredo, Djairo; Girardi, Mario; Matzeu, Michele
2004
On second-order effects in the boundary behaviour of large solutions of semilinear elliptic problems. Zbl 1042.35535
Bandle, Catherine; Marcus, Moshe
1998
Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level. Zbl 1212.35248
Gazzola, Filippo; Weth, Tobias
2005
Systems of nonlinear wave equations with damping and source terms. Zbl 1212.35268
Agre, Keith; Rammaha, M. A.
2006
Regular solutions for Landau-Lifschitz equation in a bounded domain. Zbl 1161.35421
Carbou, Gilles; Fabrie, Pierre
2001
Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Zbl 1240.35403
Boudin, Laurent; Desvillettes, Laurent; Grandmont, Céline; Moussa, Ayman
2009
Anisotropic estimates and strong solutions of the primitive equations. Zbl 1161.76454
Guillén-González, F.; Masmoudi, N.; Rodríguez-Bellido, M. A.
2001
Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth. Zbl 1274.35087
Figueiredo, Giovany M.; Santos, João R. jun.
2012
Best constant for the embedding of the space $$H^ 2\cap H^ 1_ 0(\Omega)$$ into $$L^{2N/(N-4)}\Omega$$. Zbl 0801.46033
van der Vorst, R. C. A. M.
1993
Existence and uniqueness of coexistence states for a predator-prey model with diffusion. Zbl 0823.35050
Casal, A.; Eilbeck, J. C.; López-Gómez, J.
1994
A generalized derivative for calm and stable functions. Zbl 0787.49007
Michel, Philippe; Penot, Jean-Paul
1992
Existence and non-existence of positive solutions of nonlinear elliptic systems and the biharmonic equation. Zbl 0758.35029
Peletier, L. A.; van der Vorst, R. C. A. M.
1992
Nonexistence of a positive solution of the Laplace equation with a nonlinear boundary condition. Zbl 0820.35062
Hu, Bei
1994
Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation. Zbl 0847.35070
Favini, Angelo; Horn, Mary Ann; Lasiecka, Irena; Tataru, Daniel
1996
The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line. Zbl 1212.35448
Holmer, Justin
2005
The elliptic Kirchhoff equation in $$\mathbb {R}^{N}$$ perturbed by a local nonlinearity. Zbl 1265.35069
Azzollini, Antonio
2012
Time global existence and asymptotic behavior of solutions to generate quasi-linear parabolic systems of chemotaxis. Zbl 1212.35241
Sugiyama, Yoshie
2007
Positive solutions for some semi-positone problems via bifurcation theory. Zbl 0808.35030
Ambrosetti, A.; Arcoya, D.; Buffoni, B.
1994
On the first curve of the Fučik spectrum of an elliptic operator. Zbl 0797.35032
de Figueiredo, D. G.; Gossez, J.-P.
1994
A note on a semilinear elliptic problem. Zbl 0786.35060
Tarantello, Gabriella
1992
Finsler structures for the part metric and Hilbert’s projective metric and applications to ordinary differential equations. Zbl 0844.58010
Nussbaum, Roger D.
1994
Remarks on a nonhomogeneous model of magnetohydrodynamics. Zbl 1067.76097
Desjardins, B.; Le Bris, C.
1998
General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type. Zbl 1212.35270
Cavalcanti, M. M.; Guesmia, A.
2005
Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity. Zbl 1240.35461
Kishimoto, Nobu
2009
On the regularizing effect of the vorticity direction in incompressible viscous flows. Zbl 1014.35072
Beirão da Veiga, Hugo; Berselli, Luigi C.
2002
A boundary estimate for nonlinear equations with discontinuous coefficients. Zbl 1161.35394
Kinnunen, Juha; Zhou, Shulin
2001
Damped wave equation with super critical nonlinearities. Zbl 1224.35281
Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel I.
2004
Finite time blow-up of the solution for a nonlinear parabolic equation of drift-diffusion type. Zbl 1161.35432
Kurokiba, Masaki; Ogawa, Takayoshi
2003
Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Zbl 0852.35072
Hu, Bei
1996
Oscillation for first order linear differential equations with deviating arguments. Zbl 0723.34055
Erbe, L. H.; Zhang, B. G.
1988
The Willmore flow near spheres. Zbl 1161.35429
Simonett, Gieri
2001
On new exact blow-up solutions for nonlinear heat conduction equations with source and applications. Zbl 0735.35074
Galaktionov, Victor A.
1990
Bounded $$H_ \infty$$-calculus for elliptic operators. Zbl 0799.35060
Amann, Herbert; Hieber, Matthias; Simonett, Gieri
1994
Anisotropic equations in $$L^ 1$$. Zbl 0838.35048
Boccardo, L.; Gallouet, T.; Marcellini, P.
1996
Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions. Zbl 1015.35016
Souplet, Philippe
2002
Some discontinuous variational problems. Zbl 0728.35037
Ambrosetti, A.; Turner, R. E. L.
1988
Existence and multiplicity of positive solutions to a $$p$$-Laplacian equation in $$\mathbb R^N$$. Zbl 1212.35107
Alves, Claudianor O.; Figueiredo, Giovany M.
2006
Gaussian estimates and interpolation of the spectrum in $$L^ p$$. Zbl 0827.35081
Arendt, Wolfgang
1994
A strong comparison principle for positive solutions of degenerate elliptic equations. Zbl 0973.35077
Cuesta, Mabel; Takáč, Peter
2000
Stationary solutions of the Schrödinger-Newton model – an ODE approach. Zbl 1224.35385
Choquard, Philippe; Stubbe, Joachim; Vuffray, Marc
2008
A remark on the equality $$\text{det} Df=\text{Det} Df$$. Zbl 0784.49013
Greco, Luigi
1993
Remarks on nonlinear Schrödinger equations in one space dimension. Zbl 0803.35137
Hayashi, Nakao; Ozawa, Tohru
1994
The Navier-Stokes equation for an incompressible fluid in $$\mathbb{R}^ 2$$ with a measure as the initial vorticity. Zbl 0826.35094
Kato, Tosio
1994
Space-time trajectories of nonlinear systems driven by ordinary and impulsive controls. Zbl 0925.93383
Motta, M.; Rampazzo, F.
1995
Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system. Zbl 1212.35219
Rossi, Julio D.; Souplet, Philippe
2005
The maximum principle for semicontinuous functions. Zbl 0723.35015
Crandall, Michael G.; Ishii, Hitoshi
1990
On the fixed point index and multiple steady-state solutions of reaction- diffusion systems. Zbl 0815.35017
Ruan, Weihua; Feng, Wei
1995
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
1995
A priori estimates and existence of positive solutions of nonlinear cooperative elliptic systems. Zbl 0823.35064
Souto, M. A. S.
1995
Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains. Zbl 1174.74320
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Ma, T. F.
2004
Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case. Zbl 0813.34022
López-Gómez, Julián; Pardo San Gil, Rosa
1993
Periodic solutions of the forced relativistic pendulum. Zbl 1240.34207
Brézis, Haïm; Mawhin, Jean
2010
Existence for a nonlinear wave equation with damping and source terms. Zbl 1036.35146
Serrin, James; Todorova, Grozdena; Vitillaro, Enzo
2003
Existence of solutions of semilinear elliptic problems on unbounded domains. Zbl 0837.35051
Lien, Wen-Ching; Tzeng, Shyuh-Yaur; Wang, Hwai-Chiuan
1993
Center manifolds for quasilinear reaction-diffusion systems. Zbl 0815.35054
Simonett, Gieri
1995
Controllability of the heat equation with memory. Zbl 0990.93008
Barbu, V.; Iannelli, M.
2000
Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control. Zbl 0784.93032
Lasiecka, I.; Triggiani, R.
1992
On integrated semigroups and age structured models in $$L^p$$ spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
2007
On the number of positive solutions of some semilinear Dirichlet problems in a ball. Zbl 0940.35069
1997
Global existence and asymptotic stability for viscoelastic problems. Zbl 1015.35071
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A.
2002
A nonsmooth critical point theory approach to some nonlinear elliptic equations in $${\mathbb R}^n$$. Zbl 0970.35033
Gazzola, Filippo; Rădulescu, Vicenţiu
2000
Positive periodic solutions of Lotka-Volterra reaction-diffusion systems. Zbl 0754.35065
López-Gómez, Julián
1992
Multiple positive solutions for classes of $$p$$-Laplacian equations. Zbl 1150.35419
Ramaswamy, Mythily; Shivaji, Ratnasingham
2004
Spatial patterns described by the extended Fisher-Kolmogorov (EFK) equation: Kinks. Zbl 0826.34056
Peletier, L. A.; Troy, W. C.
1995
Bifurcation of a homoclinic orbit with a saddle-node equilibrium. Zbl 0727.58026
Chow, Shuinee; Lin, Xiaobiao
1990
Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem. Zbl 0729.35046
Brown, K. J.; Hess, P.
1990
Small data blow-up of $$L^2$$-solution for the nonlinear Schrödinger equation without gauge invariance. Zbl 1313.35324
Ikeda, Masahiro; Wakasugi, Yuta
2013
Boundary value problems of a class of quasilinear ordinary differential equations. Zbl 0784.34018
Guo, Zongming
1993
The distance to $$L^{\infty }$$ in some function spaces and applications. Zbl 0889.35027
Carozza, M.; Sbordone, C.
1997
Derivative blow-up and beyond for quasilinear parabolic equations. Zbl 0811.35059
Fila, Marek; Lieberman, Gary M.
1994
Blow-up for solutions of some degenerate parabolic equations. Zbl 0797.35100
Wiegner, Michael
1994
Symmetry properties of positive solutions to some elliptic equations with nonlinear boundary conditions. Zbl 0835.35055
Terracini, Susanna
1995
Local well-posedness of the generalized Korteweg-de Vries equation in spaces of analytic functions. Zbl 1031.35124
Grujić, Zoran; Kalisch, Henrik
2002
A new proof of long-range scattering for critical nonlinear Schrödinger equations. Zbl 1249.35307
Kato, Jun; Pusateri, Fabio
2011
Periodic boundary value problems for systems of first order impulsive differential equations. Zbl 0732.34040
Bajnov, D. D.; Khristova, S. G.; Hu, Shouchuan; Lakshmikantham, V.
1989
New nonexistence results for elliptic equations with supercritical nonlinearity. Zbl 0821.35056
Passaseo, Donato
1995
Boundedness for a nonlocal reaction chemotaxis model even in the attraction-dominated regime. Zbl 07361092
Li, Tongxing; Viglialoro, Giuseppe
2021
Langevin equation involving two fractional orders with three-point boundary conditions. Zbl 07217168
Salem, Ahmed; Alzahrani, Faris; Alghamdi, Balqees
2020
Global existence of solutions to volume-surface reaction diffusion systems with dynamic boundary conditions. Zbl 1463.35315
Morgan, Jeff; Sharma, Vandana
2020
Quasi-invariance of fractional Gaussian fields by the nonlinear wave equation with polynomial nonlinearity. Zbl 1463.35360
Sosoe, Philippe; Trenberth, William J.; Xian, Tianhao
2020
Existence and multiplicity of positive solutions of a critical Kirchhoff type elliptic problem in dimension four. Zbl 1463.35223
Naimen, Daisuke; Shibata, Masataka
2020
Nonhomogeneous systems involving critical or subcritical nonlinearities. Zbl 1463.35243
Bhakta, Mousomi; Chakraborty, Souptik; Pucci, Patrizia
2020
Trace formulae of potentials for degenerate parabolic equations. Zbl 1463.47148
Karazym, Mukhtar; Suragan, Durvudkhan
2020
Blowup solutions for the nonlinear Schrödinger equation with complex coefficient. Zbl 1463.35462
Kawakami, Shota; Machihara, Shuji
2020
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey’s conjecture. Zbl 1424.35254
Lai, Ning-An; Takamura, Hiroyuki
2019
Life-span of semilinear wave equations with scale-invariant damping: critical Strauss exponent case. Zbl 1463.35361
Tu, Ziheng; Lin, Jiayun
2019
Structure of conformal metrics on $$\mathbb{R}^n$$ with constant $$Q$$-curvature. Zbl 07144913
Hyder, Ali
2019
The sharp estimate of the lifespan for semilinear wave equation with time-dependent damping. Zbl 1424.35253
Ikeda, Masahiro; Inui, Takahisa
2019
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension. Zbl 1463.35358
Kato, Masakazu; Takamura, Hiroyuki; Wakasa, Kyouhei
2019
Finite energy weak solutions to some Dirichlet problems with very singular drift. Zbl 1463.35217
Boccardo, Lucio
2019
Implication of age-structure on the dynamics of Lotka Volterra equations. Zbl 1463.35179
Perasso, Antoine; Richard, Quentin
2019
Chaotic dynamics in a periodically perturbed Liénard system. Zbl 1463.34163
Papini, Duccio; Villari, Gabriele; Zanolin, Fabio
2019
Endpoint Strichartz estimates for magnetic wave equations on two dimensional hyperbolic spaces. Zbl 1463.35133
Li, Ze
2019
Local regularity for strongly degenerate elliptic equations and weighted sum operators. Zbl 1449.35131
Di Fazio, G.; Fanciullo, M. S.; Zamboni, P.
2019
Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity. Zbl 1424.35074
Masaki, Satoshi; Miyazaki, Hayato
2019
Global existence for semilinear damped wave equations in the scattering case. Zbl 1424.35237
Bai, Yige; Liu, Mengyun
2019
Global existence of solutions to semilinear damped wave equation with slowly decaying initial data in exterior domain. Zbl 1463.35336
Sobajima, Motohiro
2019
On the Cauchy problem for the periodic fifth-order KP-I equation. Zbl 1449.35355
Robert, Tristan
2019
The anisotropic $$\infty$$-Laplacian eigenvalue problem with Neumann boundary conditions. Zbl 1449.35335
Piscitelli, Gianpaolo
2019
Large data global regularity for the $$2+1$$-dimensional equivariant Faddeev model. Zbl 1424.81014
Geba, Dan-Andrei; Grillakis, Manoussos G.
2019
Existence and uniqueness of $$C^{1+\alpha}$$-strict solutions for integro-differential equations with state-dependent delay. Zbl 1424.34267
Hernández, Eduardo; Wu, Jianhong
2019
Regularity and uniqueness for the rough solutions of the derivative nonlinear Schrödinger equation. Zbl 1463.35456
Dan, Yuanyuan; Li, Yongsheng; Ning, Cui
2019
Existence and local uniqueness of bubbling solutions for the Grushin critical problem. Zbl 1449.35069
Gheraibia, Billel; Wang, Chunhua; Yang, Jing
2019
On a class of nonlinear elliptic equations with lower order terms. Zbl 1424.35164
Alvino, A.; Mercaldo, A.; Volpicelli, R.; Betta, M. F.
2019
A nondivergence parabolic problem with a fractional time derivative. Zbl 1449.35428
Allen, Mark
2018
Long range scattering for the cubic Dirac equation on $$\mathbb{R}^{1+1}$$. Zbl 1463.35422
2018
Global stability in a two-competing-species chemotaxis system with two chemicals. Zbl 1463.35090
Zheng, Pan; Mu, Chunlai; Mi, Yongsheng
2018
On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem. Zbl 1463.35026
Nguyen, Van Hoang; Takahashi, Futoshi
2018
Classification of blow-up limits for the sinh-Gordon equation. Zbl 1449.35224
Jevnikar, Aleks; Wei, Juncheng; Yang, Wen
2018
On the number and complete continuity of weighted eigenvalues of measure differential equations. Zbl 1463.34005
Zhang, Meirong; Wen, Zhiyuan; Meng, Gang; Qi, Jiangang; Xie, Bing
2018
Quasilinear elliptic systems with convex-concave singular terms and $$\Phi$$-Laplacian operator. Zbl 1413.35162
Gonçalves, José V.; Carvalho, Marcos L.; Santos, Carlos Alberto
2018
Cauchy-Lipschitz theory for fractional multi-order dynamics: state-transition matrices, Duhamel formulas and duality theorems. Zbl 1438.34020
Bourdin, Loïc
2018
Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity. Zbl 1413.35060
Henry, David; Sastre-Gomez, Silvia
2018
Local well-posedness of the NLS equation with third order dispersion in negative Sobolev spaces. Zbl 1413.35409
Miyaji, Tomoyuki; Tsutsumi, Yoshio
2018
Exponential stability for the defocusing semilinear Schrödinger equation with locally distributed damping on a bounded domain. Zbl 1449.35045
Bortot, César Augusto; Corrêa, Wellington José
2018
A sharp lower bound for the lifespan of small solutions to the Schrödinger equation with a subcritical power nonlinearity. Zbl 1463.35467
Sagawa, Yuji; Sunagawa, Hideaki; Yasuda, Shunsuke
2018
Two-phase eigenvalue problem on thin domains with Neumann boundary condition. Zbl 1463.35225
Yachimura, Toshiaki
2018
Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1424.35009
Sano, Megumi; Takahashi, Futoshi
2018
Global well posedness for a two-fluid model. Zbl 1463.76059
Giga, Yoshikazu; Ibrahim, Slim; Shen, Shengyi; Yoneda, Tsuyoshi
2018
Nodal solutions for Lane-Emden problems in almost-annular domains. Zbl 1449.35236
2018
Symmetry breaking for an elliptic equation involving the fractional Laplacian. Zbl 1463.35251
De Nápoli, Pablo L.
2018
Horizontal Biot-Savart law in general dimension and an application to the 4D magneto-hydrodynamics. Zbl 1463.76063
Yamazaki, Kazuo
2018
Existence and multiplicity of solutions for equations of $$p(x)$$-Laplace type in $$\mathbb{R}^N$$ without AR-condition. Zbl 1449.35164
Kim, Jae-Myoung; Kim, Yun-Ho; Lee, Jongrak
2018
An existence result for superlinear semipositone $$p$$-Laplacian systems on the exterior of a ball. Zbl 1463.34095
Chhetri, Maya; Shivaji, R.; Son, Byungjae; Sankar, Lakshmi
2018
Uniqueness of singular self-similar solutions of a semilinear parabolic equation. Zbl 1463.35327
Quittner, Pavol
2018
A class of differential operators with complex coefficients and compact resolvent. Zbl 1424.34298
Behncke, Horst; Hinton, Don
2018
Coupled elliptic systems involving the square root of the Laplacian and Trudinger-Moser critical growth. Zbl 1463.35244
do Ó, João Marcos; de Albuquerque, José Carlos
2018
Existence of entropy solutions to a doubly nonlinear integro-differential equation. Zbl 1449.45021
Scholtes, Martin; Wittbold, Petra
2018
Homogenization of imperfect transmission problems: the case of weakly converging data. Zbl 1463.35064
Faella, Luisa; Monsurrò, Sara; Perugia, Carmen
2018
On the lack of compactness and existence of maximizers for some Airy-Strichartz inequalities. Zbl 1413.35398
Farah, Luiz G.; Versieux, Henrique
2018
Stability of the solution semigroup for neutral delay differential equations. Zbl 1449.34245
Fabiano, Richard; Payne, Catherine
2018
Global stability of an SIS epidemic model with a finite infectious period. Zbl 1413.37063
Nakata, Yukihiko; Röst, Gergely
2018
On the Galerkin approximation and strong norm bounds for the stochastic Navier-Stokes equations with multiplicative noise. Zbl 1424.60077
Kukavica, Igor; Uğurlu, Kerem; Ziane, Mohammed
2018
On the global well-posedness of 3-D Navier-Stokes equations with vanishing horizontal viscosity. Zbl 1449.35347
2018
Uniform asymptotic stability of a discontinuous predator-prey model under control via non-autonomous systems theory. Zbl 1424.34137
Bonotto, E. M.; Costa Ferreira, J.; Federson, M.
2018
An application of a diffeomorphism theorem to Volterra integral operator. Zbl 1463.45056
Diblík, Josef; Galewski, Marek; Koniorczyk, Marcin; Schmeidel, Ewa
2018
Norm inflation for equations of KdV type with fractional dispersion. Zbl 1463.35441
Hur, Vera Mikyoung
2018
Global solvability for two-dimensional filtered Euler equations with measure valued initial vorticity. Zbl 1463.35408
Gotoda, Takeshi
2018
Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point. Zbl 1463.58006
Marchesi, Giacomo; Portaluri, Alessandro; Waterstraat, Nils
2018
Critical well-posedness and scattering results for fractional Hartree-type equations. Zbl 1463.35500
Herr, Sebastian; Yang, Changhun
2018
Nonexistence of positive solutions for a system of semilinear fractional Laplacian problem. Zbl 1413.35104
Dou, Jingbo; Li, Ye
2018
Positive semiclassical states for a fractional Schrödinger-Poisson system. Zbl 1413.35018
Murcia, Edwin G.; Siciliano, Gaetano
2017
The focusing cubic NLS with inverse-square potential in three space dimensions. Zbl 1413.35407
Killip, Rowan; Murphy, Jason; Visan, Monica; Zheng, Jiqiang
2017
Exact evolution versus mean field with second-order correction for bosons interacting via short-range two-body potential. Zbl 1413.81041
Kuz, Elif
2017
Pointwise estimates for $$G\Gamma$$-functions and applications. Zbl 1413.35161
Fiorenza, Alberto; Formica, Maria Rosaria; Rakotoson, Jean Michel
2017
A priori bounds and positive solutions for non-variational fractional elliptic systems. Zbl 1424.35350
Leite, Edir Junior Ferreira; Montenegro, Marcos
2017
Remarks on large time behavior of the $$L^2$$-norm of solutions to strongly damped wave equations. Zbl 1424.35246
Ikehata, Ryo; Onodera, Michiaki
2017
Ground states for a fractional scalar field problem with critical growth. Zbl 1413.35013
Ambrosio, Vincenzo
2017
Nodal solutions to problem with mean curvature operator in Minkowski space. Zbl 1424.35187
Dai, Guowei; Wang, Jun
2017
On the $$\mathcal{R}$$-boundedness of solution operator families for two-phase Stokes resolvent equations. Zbl 1424.35277
Maryani, Sri; Saito, Hirokazu
2017
Multiplicity results and sign changing solutions of non-local equations with concave-convex nonlinearities. Zbl 1424.35368
Bhakta, Mousomi; Mukherjee, Debangana
2017
On ordinary differential inclusions with mixed boundary conditions. Zbl 1413.34074
Bonanno, Gabriele; Iannizzotto, Antonio; Marras, Monica
2017
The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line. Zbl 1413.35405
Cavalcante, Márcio
2017
On multiple solutions for nonlocal fractional problems via $$\nabla$$-theorems. Zbl 1413.35154
Molica Bisci, Giovanni; Mugnai, Dimitri; Servadei, Raffaella
2017
Logarithmic NLS equation on star graphs: existence and stability of standing waves. Zbl 1413.76016
Ardila, Alex H.
2017
Uniform bounds for solutions to volume-surface reaction diffusion systems. Zbl 1424.35225
Sharma, Vandana; Morgan, Jeff
2017
Nonlocal variational constants of motion in dissipative dynamics. Zbl 1438.70010
Gorni, Gianluca; Zampieri, Gaetano
2017
Connected sets of solutions for a nonlinear Neumann problem. Zbl 1413.35059
Gołȩbiewska, Anna; Kluczenko, Joanna
2017
A weak Harnack estimate for supersolutions to the porous medium equation. Zbl 1413.35266
Lehtelä, Pekka
2017
Heat equation with a nonlinear boundary condition and growing initial data. Zbl 1413.35264
Ishige, Kazuhiro; Sato, Ryuichi
2017
A three critical points result in a bounded domain of a Banach space and applications. Zbl 1413.47153
Precup, Radu; Pucci, Patrizia; Varga, Csaba
2017
The time derivative in a singular parabolic equation. Zbl 1424.35235
Lindqvist, Peter
2017
New distributional travelling waves for the nonlinear Klein-Gordon equation. Zbl 1424.46059
Sarrico, C. O. R.; Paiva, A.
2017
A phase-field system with two temperatures and memory. Zbl 1424.35057
Conti, Monica; Gatti, Stefania; Miranville, Alain
2017
An infinite number of solutions for an elliptic problem with power nonlinearity. Zbl 1424.35146
2017
Multiple positive solutions for the $$m$$-Laplacian and a nonlinearity with many zeros. Zbl 1413.35231
Iturriaga, Leonelo; Lorca, Sebastián; Massa, Eugenio
2017
On the existence of homoclinic type solutions of inhomogenous Lagrangian systems. Zbl 1424.37036
Ciesielski, Jakub; Janczewska, Joanna; Waterstraat, Nils
2017
Decay estimates for four dimensional Schrödinger, Klein-Gordon and wave equations with obstructions at zero energy. Zbl 1424.35288
Green, William R.; Toprak, Ebru
2017
A note on positive radial solutions of $$\Delta^2u+u^{-q}=0$$ in $$\mathbf{R}^3$$ with exactly quadratic growth at infinity. Zbl 1413.35100
Duoc, Trinh Viet; Ngô, Quôc Anh
2017
Bifurcation of space periodic solutions in symmetric reversible FDEs. Zbl 1413.37039
Balanov, Zalman; Wu, Hao-Pin
2017
Pullback dynamics of non-autonomous wave equations with acoustic boundary condition. Zbl 1424.35061
Ma, To Fu; Souza, Thales Maier
2017
Almost automorphic solutions of Volterra equations on time scales. Zbl 1413.35354
Lizama, Carlos; Mesquita, Jaqueline G.; Ponce, Rodrigo; Toon, Eduard
2017
Unstable phases for the critical Schrödinger-Poisson system in dimension 4. Zbl 1413.58009
Thizy, Pierre-Damien
2017
Nontrivial solutions for impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. Zbl 1413.34120
Caristi, Giuseppe; Ferrara, Massimiliano; Heidarkhani, Shapour; Tiani, Yu
2017
Infinitely many solutions for a critical Kirchhoff type problem involving a fractional operator. Zbl 1363.35118
Fiscella, Alessio
2016
Kato-Ponce inequalities on weighted and variable Lebesgue spaces. Zbl 1374.42040
Cruz-Uribe, David; Naibo, Virginia
2016
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#### Cited by 10,205 Authors

 65 Papageorgiou, Nikolaos S. 60 Agarwal, Ravi P. 57 Tang, Xianhua 57 Yin, Zhaoyang 56 Alves, Claudianor Oliveira 53 López-Gómez, Julián 50 Guo, Boling 48 Hayashi, Nakao 48 Lasiecka, Irena 47 Mu, Chunlai 45 Wang, Mingxin 43 Messaoudi, Salim A. 42 Figueiredo, Giovany Malcher 42 Naumkin, Pavel Ivanovich 40 Miyagaki, Olimpio Hiroshi 38 Cavalcanti, Marcelo Moreira 38 Ma, Ruyun 36 Kaikina, Elena Igorevna 36 O’Regan, Donal 36 Rossi, Julio Daniel 35 Kenig, Carlos Eduardo 35 Wei, Juncheng 34 Wu, Tsungfang 33 Himonas, A. Alexandrou 32 Ezzinbi, Khalil 32 Shivaji, Ratnasingham 30 Carl, Siegfried 30 Domingos Cavalcanti, Valéria Neves 30 Shi, Junping 30 Yuan, Rong 29 Motreanu, Dumitru 28 Li, Yongsheng 28 Shen, Wenxian 27 Zhang, Zhijun 26 Do Ó, João M. Bezerra 26 Liang, Jin 26 Souplet, Philippe 25 Magal, Pierre 25 Rakotoson, Jean-Michel 25 Tatar, Nasser-eddine 25 Zanolin, Fabio 25 Zhou, Jun 24 Ogawa, Takayoshi 24 Ponce, Gustavo 24 Wu, Jianhua 24 Yan, Wei 23 Ishige, Kazuhiro 23 Ozawa, Tohru 22 Cabada, Alberto 22 Dancer, Edward Norman 22 Ikeda, Masahiro 22 Le, Vy Khoi 22 Liu, Wenjun 22 Suárez, Antonio 22 Zhang, Ziheng 21 Afrouzi, Ghasem Alizadeh 21 Diaz Diaz, Jesus Ildefonso 21 Feng, Baowei 21 García-Melián, Jorge 21 Ge, Weigao 21 Li, Fengjie 21 Liu, Bingchen 21 Liu, Lishan 21 Mustafa, Muhammad Islam 21 Oh, Tadahiro 21 Pistoia, Angela 21 Zhang, Jihui 20 Du, Yihong 20 Heikkilä, Seppo V. 20 Linares, Felipe 20 Liu, Yue 20 Mi, Yongsheng 20 Rădulescu, Vicenţiu D. 20 Tzvetkov, Nikolay 20 Zheng, Sining 20 Zou, Wenming 19 Carrillo de la Plata, José Antonio 19 Felmer, Patricio L. 19 Gasiński, Leszek 19 Guo, Zongming 19 Ikehata, Ryo 19 Park, Jong Yeoul 19 Quaas, Alexander 19 Vinti, Gianluca 19 Yang, Zuodong 18 Boulaaras, Salah Mahmoud 18 Drábek, Pavel 18 Gesztesy, Fritz 18 Shibata, Yoshihiro 18 Temam, Roger Meyer 18 Vazquez, Juan Luis 18 Xu, Runzhang 18 Yanagida, Eiji 18 Zhang, Bingyu 17 Ambrosio, Vincenzo 17 Bona, Jerry Lloyd 17 Cao, Daomin 17 Ferreira, Lucas Catão de Freitas 17 Ha, Seung-Yeal 17 Kafini, Mohammad Mustafa ...and 10,105 more Authors
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#### Cited in 573 Journals

 1,293 Journal of Mathematical Analysis and Applications 1,129 Journal of Differential Equations 1,127 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 255 Nonlinear Analysis. Real World Applications 255 Nonlinear Analysis. Theory, Methods & Applications 245 Discrete and Continuous Dynamical Systems 232 Calculus of Variations and Partial Differential Equations 221 Applied Mathematics and Computation 205 Journal of Functional Analysis 200 Computers & Mathematics with Applications 192 Applied Mathematics Letters 172 Communications on Pure and Applied Analysis 168 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 167 ZAMP. Zeitschrift für angewandte Mathematik und Physik 165 Transactions of the American Mathematical Society 158 Proceedings of the American Mathematical Society 140 NoDEA. Nonlinear Differential Equations and Applications 140 Boundary Value Problems 133 Archive for Rational Mechanics and Analysis 131 Journal de Mathématiques Pures et Appliquées. Neuvième Série 128 Journal of Mathematical Physics 126 Discrete and Continuous Dynamical Systems. Series B 124 Journal of Evolution Equations 118 Journal of Computational and Applied Mathematics 116 Mathematical Methods in the Applied Sciences 114 Abstract and Applied Analysis 108 SIAM Journal on Mathematical Analysis 105 Annali di Matematica Pura ed Applicata. Serie Quarta 97 Journal of Dynamics and Differential Equations 85 Applicable Analysis 84 Mediterranean Journal of Mathematics 79 Communications in Mathematical Physics 78 Rocky Mountain Journal of Mathematics 78 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 74 Physica D 72 Advanced Nonlinear Studies 70 Mathematische Annalen 69 Acta Mathematica Sinica. English Series 68 Acta Applicandae Mathematicae 65 Advances in Difference Equations 63 Mathematical and Computer Modelling 62 Discrete and Continuous Dynamical Systems. Series S 59 Mathematische Nachrichten 58 Comptes Rendus. Mathématique. Académie des Sciences, Paris 57 Applied Mathematics and Optimization 55 Advances in Mathematics 54 Advances in Nonlinear Analysis 51 Journal of Optimization Theory and Applications 51 Journal of Mathematical Fluid Mechanics 48 Nonlinearity 47 Journal d’Analyse Mathématique 46 Monatshefte für Mathematik 45 Communications in Contemporary Mathematics 44 Czechoslovak Mathematical Journal 44 Zeitschrift für Analysis und ihre Anwendungen 44 Journal of Mathematical Sciences (New York) 42 Quarterly of Applied Mathematics 41 Acta Mathematicae Applicatae Sinica. English Series 38 Complex Variables and Elliptic Equations 37 Journal of Fixed Point Theory and Applications 37 Science China. Mathematics 36 Journal of Mathematical Biology 36 Semigroup Forum 35 Results in Mathematics 35 Systems & Control Letters 34 The Journal of Geometric Analysis 34 Journal of Dynamical and Control Systems 34 Evolution Equations and Control Theory 34 Journal of Function Spaces 33 Duke Mathematical Journal 32 Archiv der Mathematik 32 Journal of Integral Equations and Applications 32 Communications in Partial Differential Equations 32 Potential Analysis 30 Manuscripta Mathematica 30 Revista Matemática Iberoamericana 30 Journal of Nonlinear Science 30 Journal of Applied Mathematics 29 Mathematische Zeitschrift 29 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 29 Electronic Journal of Differential Equations (EJDE) 29 Journal of Inequalities and Applications 28 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 27 Journal of Computational Physics 27 SIAM Journal on Control and Optimization 26 Integral Equations and Operator Theory 25 Communications in Nonlinear Science and Numerical Simulation 24 Numerische Mathematik 24 Topological Methods in Nonlinear Analysis 24 Journal of the European Mathematical Society (JEMS) 24 Journal of Applied Mathematics and Computing 23 Israel Journal of Mathematics 23 Chaos, Solitons and Fractals 23 Rendiconti del Circolo Matemàtico di Palermo. Serie II 23 Ricerche di Matematica 23 Chinese Annals of Mathematics. Series B 22 Applied Numerical Mathematics 22 Linear Algebra and its Applications 22 Positivity 22 Differential Equations ...and 473 more Journals
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