## Grossi, Massimo

Compute Distance To:
 Author ID: grossi.massimo Published as: Grossi, Massimo; Grossi, M.; Grosi, Massimo Homepage: https://sites.google.com/a/uniroma1.it/massimo-grossi/home External Links: ResearchGate · dblp
 Documents Indexed: 87 Publications since 1990 Co-Authors: 51 Co-Authors with 66 Joint Publications 879 Co-Co-Authors
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### Co-Authors

 21 single-authored 20 Gladiali, Francesca 12 Pacella, Filomena 10 Pistoia, Angela 3 Battaglia, Luca 3 De Regibus, Fabio 3 El Mehdi, Khalil O. 3 Ianni, Isabella 3 Neves, Sérgio L. N. 3 Ohtsuka, Hiroshi 2 Adimurthi, A. 2 Amadori, Anna Lisa 2 Ben Ayed, Mohamed 2 Clapp, Mónica 2 de Marchis, Francesca 2 Grumiau, Christopher 2 Naimen, Daisuke 2 Noris, Benedetta 2 Prashanth, S. 2 Suzuki, Takashi 2 Takahashi, Futoshi 2 Troestler, Christophe 2 Wei, Juncheng 1 Bartsch, Thomas J. 1 Berestycki, Henri 1 Bonheure, Denis 1 Cerqueti, Katiuscia 1 Dall’Aglio, Andrea 1 Damascelli, Lucio 1 Dancer, Edward Norman 1 Esposito, Pierpaolo 1 Faya, Jorge 1 Lin, Chang-Shou 1 Luo, Peng 1 Magrone, Paola 1 Mancini, Gabriele 1 Matzeu, Michele 1 Molle, Riccardo 1 Mukherjee, Debangana 1 Passaseo, Donato 1 Ramaswamy, Mythily 1 Rey, Olivier 1 Saldaña, Alberto 1 Santra, Sanjiban 1 Srikanth, P. N. 1 Stehlick, Alexandre 1 Tavares, Hugo 1 Terracini, Susanna 1 Vaira, Giusi 1 Vujadinović, Djordjije 1 Yadava, S. L. 1 Yan, Shusen
all top 5

### Serials

 7 Calculus of Variations and Partial Differential Equations 6 Journal of Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Functional Analysis 4 Advances in Differential Equations 3 Indiana University Mathematics Journal 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 Differential and Integral Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Discrete and Continuous Dynamical Systems 3 Communications in Contemporary Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Mathematische Zeitschrift 2 Communications in Partial Differential Equations 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Nonlinear Analysis. Theory, Methods & Applications 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Advances in Mathematics 1 Archiv der Mathematik 1 Duke Mathematical Journal 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Asymptotic Analysis 1 Methods and Applications of Analysis 1 Communications on Applied Nonlinear Analysis 1 Analysis in Theory and Applications 1 Complex Variables and Elliptic Equations 1 Electronic Research Archive
all top 5

### Fields

 87 Partial differential equations (35-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 969 times in 627 Documents Cited by Year
On the existence of blowing-up solutions for a mean field equation. Zbl 1129.35376
Esposito, Pierpaolo; Grossi, Massimo; Pistoia, Angela
2005
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle. Zbl 0935.35049
Damascelli, Lucio; Grossi, Massimo; Pacella, Filomena
1999
On the number of single-peak solutions of the nonlinear Schrödinger equation. Zbl 1034.35127
Grossi, Massimo
2002
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory. Zbl 0964.35047
Grossi, Massimo; Pistoia, Angela; Wei, Juncheng
2000
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Zbl 1083.35035
2004
Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus. Zbl 1209.35043
Gladiali, Francesca; Grossi, Massimo; Pacella, Filomena; Srikanth, P. N.
2011
Nonradial solutions for the Hénon equation in $$\mathbb R^N$$. Zbl 1335.35077
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N.
2013
Some results on a class of nonlinear Schrödinger equations. Zbl 0970.35039
Grossi, Massimo
2000
Asymptotically radial solutions in expanding annular domains. Zbl 1276.35083
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena
2012
Supercritical elliptic problem with nonautonomous nonlinearities. Zbl 1266.35105
2012
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Zbl 1109.31005
2006
Nonexistence of multi-bubble solutions to some elliptic equations on convex domains. Zbl 1195.35147
Grossi, Massimo; Takahashi, Futoshi
2010
Asymptotic estimates and qualitative properties of an elliptic problem in dimension two. Zbl 1065.35112
El Mehdi, Khalil; Grossi, Massimo
2004
Asymptotic behaviour of the Kazdan-Warner solution in the annulus. Zbl 1170.35420
Grossi, Massimo
2006
A nonexistence result of single peaked solutions to a supercritical nonlinear problem. Zbl 1066.35035
Ben Ayed, M.; El Mehdi, K.; Rey, O.; Grossi, M.
2003
Multiple blow-up phenomena for the sinh-Poisson equation. Zbl 1303.35088
Grossi, Massimo; Pistoia, Angela
2013
Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions. Zbl 0724.35041
Grossi, Massimo; Pacella, Filomena
1990
Lane Emden problems with large exponents and singular Liouville equations. Zbl 1292.35109
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena
2014
A uniqueness result for a semilinear elliptic equation in symmetric domains. Zbl 1003.35056
Grossi, Massimo
2000
On the effect of critical points of distance function in superlinear elliptic problems. Zbl 0989.35054
Grossi, Massimo; Pistoia, Angela
2000
Some results for the Gelfand’s problem. Zbl 1140.35417
2004
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
2016
Positive constrained minimizers for supercritical problems in the ball. Zbl 1261.35052
Grossi, Massimo; Noris, Benedetta
2012
On the shape of the solutions of some semilinear elliptic problems. Zbl 1136.35364
Grossi, Massimo; Molle, Riccardo
2003
A class of solutions for the Neumann problem $$-\Delta u+ \lambda u= u^{(N+2)/ (N-2)}$$. Zbl 1043.35507
Grossi, Massimo
1995
Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities. Zbl 1154.35050
Grossi, Massimo
2008
On the spectrum of a nonlinear planar problem. Zbl 1166.35028
2009
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane. Zbl 1355.35080
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N.
2016
On the nondegeneracy of the critical points of the Robin function in symmetric domains. Zbl 1011.58017
Grossi, Massimo
2002
Strict convexity of level sets of solutions of some nonlinear elliptic equations. Zbl 1149.35351
2004
On the Hardy-Sobolev equation. Zbl 1373.35109
Dancer, E. N.; Gladiali, F.; Grossi, M.
2017
Lane-Emden problems: asymptotic behavior of low energy nodal solutions. Zbl 1266.35106
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena
2013
On an eigenvalue problem related to the critical exponent. Zbl 1122.35087
Grossi, Massimo; Pacella, Filomena
2005
On a general $$\mathrm{SU}(3)$$ Toda system. Zbl 1339.35118
Gladiali, Francesca; Grossi, Massimo; Wei, Juncheng
2015
A nondegeneracy result for a nonlinear elliptic equation. Zbl 1129.35033
Grossi, Massimo
2005
Symmetry of positive solutions of some nonlinear equations. Zbl 0927.35039
Grossi, M.; Kesavan, S.; Pacella, F.; Ramaswamy, M.
1998
On the shape of solutions of an asymptotically linear problem. Zbl 1182.35116
Grossi, Massimo
2009
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth. Zbl 1021.35030
Grossi, M.; Magrone, P.; Matzeu, M.
2001
Linear perturbations for the critical Hénon problem. Zbl 1363.35141
2015
$$L^{\infty}$$-norm and energy quantization for the planar Lane-Emden problem with large exponent. Zbl 1417.35042
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F.
2018
Symmetry results for perturbed problems and related questions. Zbl 1274.35021
Grosi, Massimo; Pacella, Filomena; Yadava, S. L.
2003
Multiple solutions to the Bahri-Coron problem in domains with a shrinking hole of positive dimension. Zbl 1260.35061
Clapp, Mónica; Grossi, Massimo; Pistoia, Angela
2012
Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel’fand problem in two space dimensions. Zbl 1227.35091
Grossi, Massimo; Ohtsuka, Hiroshi; Suzuki, Takashi
2011
A perturbation theorem for the equation $$-\Delta u+\lambda u=u^ p$$ in unbounded domains. Zbl 0872.35040
Dall’Aglio, Andrea; Grossi, Massimo
1997
Uniqueness of the least-energy solution for a semilinear Neumann problem. Zbl 0946.35034
Grossi, Massimo
2000
Singular limit of radial solutions in an annulus. Zbl 1132.35377
2007
Nonlinear elliptic Dirichlet problems in exterior domains: The role of geometry and topology of the domain. Zbl 0863.35035
Grossi, Massimo; Passaseo, Donato
1995
Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains. Zbl 1422.35075
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F.
2019
Nodal solutions for Lane-Emden problems in almost-annular domains. Zbl 1449.35236
2018
Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four. Zbl 1387.35172
Ben Ayed, Mohamed; El Mehdi, Khalil; Grossi, Massimo
2006
On the Green function of the annulus. Zbl 1363.35093
2016
Locating the peak of ground states of nonlinear Schrödinger equations. Zbl 1082.35139
Grossi, Massimo; Pistoia, Angela
2005
Local estimates for a semilinear elliptic equation with Sobolev critical exponent and application to a uniqueness result. Zbl 1071.35519
Cerqueti, Katiuscia; Grossi, Massimo
2001
Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems. Zbl 07194963
Grossi, Massimo; Saldaña, Alberto; Tavares, Hugo
2020
Entire radial and nonradial solutions for systems with critical growth. Zbl 1392.35092
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe
2018
On some semilinear elliptic equations with critical nonlinearities and mixed boundary conditions. Zbl 0723.35033
Grossi, M.
1990
Morse indices of multiple blow-up solutions to the two-dimensional Gel’fand problem. Zbl 1304.35468
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi; Suzuki, Takashi
2014
A nonexistence theorem for an equation with critical Sobolev exponent in the half space. Zbl 0796.35050
Berestycki, Henri; Grossi, Massimo; Pacella, Filomena
1992
Uniqueness of the critical point for semi-stable solutions in $$\mathbb{R}^2$$. Zbl 1459.35212
De Regibus, Fabio; Grossi, Massimo; Mukherjee, Debangana
2021
Non-uniqueness of blowing-up solutions to the Gelfand problem. Zbl 1425.35059
Battaglia, Luca; Grossi, Massimo; Pistoia, Angela
2019
A non-variational system involving the critical Sobolev exponent. The radial case. Zbl 1444.35051
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe
2019
Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction. Zbl 1151.35348
Grossi, Massimo; Prashanth, S.
2005
Exact multiplicity results for a singularly perturbed Neumann problem. Zbl 1280.35036
Grossi, Massimo; Neves, Sérgio L. N.
2013
Multiplicity results for semilinear elliptic equations with lack of compactness. Zbl 0792.35053
Grossi, Massimo
1993
On the number of peaks of the eigenfunctions of the linearized Gel’fand problem. Zbl 1348.35061
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi
2016
On the location of two blowup points on an annulus for the mean field equation. (Sur l’emplacement de deux points d’explosion sur un annulus pour l’équation de champ moyen.) Zbl 1297.35198
Grossi, Massimo; Takahashi, Futoshi
2014
Existence and multiplicity results in the presence of symmetry for elliptic equations with critical Sobolev exponent. Zbl 0756.35031
Grossi, Massimo
1991
Blow-up analysis for nodal radial solutions in Moser-Trudinger critical equations in $$\mathbb{R}^2$$. Zbl 1467.35180
Grossi, Massimo; Naimen, Daisuke
2020
On the number of critical points of stable solutions in bounded strip-like domains. Zbl 07429250
De Regibus, Fabio; Grossi, Massimo
2022
Nonradial entire solutions for Liouville systems. Zbl 1378.35106
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2017
Uniqueness results in nonlinear elliptic problems. Zbl 1185.35093
Grossi, Massimo
2001
A uniqueness result for a Neumann problem involving the critical Sobolev exponent. Zbl 1108.35059
Grossi, Massimo; Lin, Chang-Shou; Prashanth, S.
2003
Existence of radial solutions for an elliptic problem involving exponential nonlinearities. Zbl 1155.35042
Grossi, Massimo
2008
An existence result for a semilinear equation in some domains with unbounded boundary. Zbl 0848.35043
Grossi, Massimo
1995
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
A Morse lemma for degenerate critical points of solutions of nonlinear equations in $$\mathbb{R}^2$$. Zbl 1440.35164
Grossi, Massimo
2020
On the number of critical points of stable solutions in bounded strip-like domains. Zbl 07429250
De Regibus, Fabio; Grossi, Massimo
2022
Uniqueness of the critical point for semi-stable solutions in $$\mathbb{R}^2$$. Zbl 1459.35212
De Regibus, Fabio; Grossi, Massimo; Mukherjee, Debangana
2021
Asymptotic behavior of minimal solutions of $$-\Delta u=\lambda f(u)$$ as $$\lambda\to-\infty$$. Zbl 1467.35171
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2021
Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems. Zbl 07194963
Grossi, Massimo; Saldaña, Alberto; Tavares, Hugo
2020
Blow-up analysis for nodal radial solutions in Moser-Trudinger critical equations in $$\mathbb{R}^2$$. Zbl 1467.35180
Grossi, Massimo; Naimen, Daisuke
2020
A Morse lemma for degenerate critical points of solutions of nonlinear equations in $$\mathbb{R}^2$$. Zbl 1440.35164
Grossi, Massimo
2020
Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains. Zbl 1422.35075
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F.
2019
Non-uniqueness of blowing-up solutions to the Gelfand problem. Zbl 1425.35059
Battaglia, Luca; Grossi, Massimo; Pistoia, Angela
2019
A non-variational system involving the critical Sobolev exponent. The radial case. Zbl 1444.35051
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe
2019
$$L^{\infty}$$-norm and energy quantization for the planar Lane-Emden problem with large exponent. Zbl 1417.35042
De Marchis, F.; Grossi, M.; Ianni, I.; Pacella, F.
2018
Nodal solutions for Lane-Emden problems in almost-annular domains. Zbl 1449.35236
2018
Entire radial and nonradial solutions for systems with critical growth. Zbl 1392.35092
Gladiali, Francesca; Grossi, Massimo; Troestler, Christophe
2018
On the Hardy-Sobolev equation. Zbl 1373.35109
Dancer, E. N.; Gladiali, F.; Grossi, M.
2017
Nonradial entire solutions for Liouville systems. Zbl 1378.35106
Battaglia, Luca; Gladiali, Francesca; Grossi, Massimo
2017
Multi-layer radial solutions for a supercritical Neumann problem. Zbl 1341.35061
Bonheure, Denis; Grossi, Massimo; Noris, Benedetta; Terracini, Susanna
2016
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane. Zbl 1355.35080
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N.
2016
On the Green function of the annulus. Zbl 1363.35093
2016
On the number of peaks of the eigenfunctions of the linearized Gel’fand problem. Zbl 1348.35061
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi
2016
On a general $$\mathrm{SU}(3)$$ Toda system. Zbl 1339.35118
Gladiali, Francesca; Grossi, Massimo; Wei, Juncheng
2015
Linear perturbations for the critical Hénon problem. Zbl 1363.35141
2015
Lane Emden problems with large exponents and singular Liouville equations. Zbl 1292.35109
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena
2014
Morse indices of multiple blow-up solutions to the two-dimensional Gel’fand problem. Zbl 1304.35468
Gladiali, Francesca; Grossi, Massimo; Ohtsuka, Hiroshi; Suzuki, Takashi
2014
On the location of two blowup points on an annulus for the mean field equation. (Sur l’emplacement de deux points d’explosion sur un annulus pour l’équation de champ moyen.) Zbl 1297.35198
Grossi, Massimo; Takahashi, Futoshi
2014
Nonradial solutions for the Hénon equation in $$\mathbb R^N$$. Zbl 1335.35077
Gladiali, Francesca; Grossi, Massimo; Neves, Sérgio L. N.
2013
Multiple blow-up phenomena for the sinh-Poisson equation. Zbl 1303.35088
Grossi, Massimo; Pistoia, Angela
2013
Lane-Emden problems: asymptotic behavior of low energy nodal solutions. Zbl 1266.35106
Grossi, Massimo; Grumiau, Christopher; Pacella, Filomena
2013
Exact multiplicity results for a singularly perturbed Neumann problem. Zbl 1280.35036
Grossi, Massimo; Neves, Sérgio L. N.
2013
Asymptotically radial solutions in expanding annular domains. Zbl 1276.35083
Bartsch, Thomas; Clapp, Mónica; Grossi, Massimo; Pacella, Filomena
2012
Supercritical elliptic problem with nonautonomous nonlinearities. Zbl 1266.35105
2012
Positive constrained minimizers for supercritical problems in the ball. Zbl 1261.35052
Grossi, Massimo; Noris, Benedetta
2012
Multiple solutions to the Bahri-Coron problem in domains with a shrinking hole of positive dimension. Zbl 1260.35061
Clapp, Mónica; Grossi, Massimo; Pistoia, Angela
2012
Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus. Zbl 1209.35043
Gladiali, Francesca; Grossi, Massimo; Pacella, Filomena; Srikanth, P. N.
2011
Asymptotic non-degeneracy of the multiple blow-up solutions to the Gel’fand problem in two space dimensions. Zbl 1227.35091
Grossi, Massimo; Ohtsuka, Hiroshi; Suzuki, Takashi
2011
Nonexistence of multi-bubble solutions to some elliptic equations on convex domains. Zbl 1195.35147
Grossi, Massimo; Takahashi, Futoshi
2010
On the spectrum of a nonlinear planar problem. Zbl 1166.35028
2009
On the shape of solutions of an asymptotically linear problem. Zbl 1182.35116
Grossi, Massimo
2009
Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities. Zbl 1154.35050
Grossi, Massimo
2008
Existence of radial solutions for an elliptic problem involving exponential nonlinearities. Zbl 1155.35042
Grossi, Massimo
2008
Singular limit of radial solutions in an annulus. Zbl 1132.35377
2007
Optimal Hardy–Rellich inequalities, maximum principle and related eigenvalue problem. Zbl 1109.31005
2006
Asymptotic behaviour of the Kazdan-Warner solution in the annulus. Zbl 1170.35420
Grossi, Massimo
2006
Asymptotic behavior of least energy solutions of a biharmonic equation in dimension four. Zbl 1387.35172
Ben Ayed, Mohamed; El Mehdi, Khalil; Grossi, Massimo
2006
On the existence of blowing-up solutions for a mean field equation. Zbl 1129.35376
Esposito, Pierpaolo; Grossi, Massimo; Pistoia, Angela
2005
On an eigenvalue problem related to the critical exponent. Zbl 1122.35087
Grossi, Massimo; Pacella, Filomena
2005
A nondegeneracy result for a nonlinear elliptic equation. Zbl 1129.35033
Grossi, Massimo
2005
Locating the peak of ground states of nonlinear Schrödinger equations. Zbl 1082.35139
Grossi, Massimo; Pistoia, Angela
2005
Local solutions for elliptic problems with exponential nonlinearities via finite dimensional reduction. Zbl 1151.35348
Grossi, Massimo; Prashanth, S.
2005
Asymptotic estimates for a two-dimensional problem with polynomial nonlinearity. Zbl 1083.35035
2004
Asymptotic estimates and qualitative properties of an elliptic problem in dimension two. Zbl 1065.35112
El Mehdi, Khalil; Grossi, Massimo
2004
Some results for the Gelfand’s problem. Zbl 1140.35417
2004
Strict convexity of level sets of solutions of some nonlinear elliptic equations. Zbl 1149.35351
2004
A nonexistence result of single peaked solutions to a supercritical nonlinear problem. Zbl 1066.35035
Ben Ayed, M.; El Mehdi, K.; Rey, O.; Grossi, M.
2003
On the shape of the solutions of some semilinear elliptic problems. Zbl 1136.35364
Grossi, Massimo; Molle, Riccardo
2003
Symmetry results for perturbed problems and related questions. Zbl 1274.35021
Grosi, Massimo; Pacella, Filomena; Yadava, S. L.
2003
A uniqueness result for a Neumann problem involving the critical Sobolev exponent. Zbl 1108.35059
Grossi, Massimo; Lin, Chang-Shou; Prashanth, S.
2003
On the number of single-peak solutions of the nonlinear Schrödinger equation. Zbl 1034.35127
Grossi, Massimo
2002
On the nondegeneracy of the critical points of the Robin function in symmetric domains. Zbl 1011.58017
Grossi, Massimo
2002
Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth. Zbl 1021.35030
Grossi, M.; Magrone, P.; Matzeu, M.
2001
Local estimates for a semilinear elliptic equation with Sobolev critical exponent and application to a uniqueness result. Zbl 1071.35519
Cerqueti, Katiuscia; Grossi, Massimo
2001
Uniqueness results in nonlinear elliptic problems. Zbl 1185.35093
Grossi, Massimo
2001
Existence of multipeak solutions for a semilinear Neumann problem via nonsmooth critical point theory. Zbl 0964.35047
Grossi, Massimo; Pistoia, Angela; Wei, Juncheng
2000
Some results on a class of nonlinear Schrödinger equations. Zbl 0970.35039
Grossi, Massimo
2000
A uniqueness result for a semilinear elliptic equation in symmetric domains. Zbl 1003.35056
Grossi, Massimo
2000
On the effect of critical points of distance function in superlinear elliptic problems. Zbl 0989.35054
Grossi, Massimo; Pistoia, Angela
2000
Uniqueness of the least-energy solution for a semilinear Neumann problem. Zbl 0946.35034
Grossi, Massimo
2000
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle. Zbl 0935.35049
Damascelli, Lucio; Grossi, Massimo; Pacella, Filomena
1999
Symmetry of positive solutions of some nonlinear equations. Zbl 0927.35039
Grossi, M.; Kesavan, S.; Pacella, F.; Ramaswamy, M.
1998
A perturbation theorem for the equation $$-\Delta u+\lambda u=u^ p$$ in unbounded domains. Zbl 0872.35040
Dall&rsquo;Aglio, Andrea; Grossi, Massimo
1997
A class of solutions for the Neumann problem $$-\Delta u+ \lambda u= u^{(N+2)/ (N-2)}$$. Zbl 1043.35507
Grossi, Massimo
1995
Nonlinear elliptic Dirichlet problems in exterior domains: The role of geometry and topology of the domain. Zbl 0863.35035
Grossi, Massimo; Passaseo, Donato
1995
An existence result for a semilinear equation in some domains with unbounded boundary. Zbl 0848.35043
Grossi, Massimo
1995
Multiplicity results for semilinear elliptic equations with lack of compactness. Zbl 0792.35053
Grossi, Massimo
1993
A nonexistence theorem for an equation with critical Sobolev exponent in the half space. Zbl 0796.35050
Berestycki, Henri; Grossi, Massimo; Pacella, Filomena
1992
Existence and multiplicity results in the presence of symmetry for elliptic equations with critical Sobolev exponent. Zbl 0756.35031
Grossi, Massimo
1991
Positive solutions of nonlinear elliptic equations with critical Sobolev exponent and mixed boundary conditions. Zbl 0724.35041
Grossi, Massimo; Pacella, Filomena
1990
On some semilinear elliptic equations with critical nonlinearities and mixed boundary conditions. Zbl 0723.35033
Grossi, M.
1990
all top 5

### Cited by 505 Authors

 45 Grossi, Massimo 45 Pistoia, Angela 41 Wei, Juncheng 30 Pacella, Filomena 26 Musso, Monica 24 Gladiali, Francesca 20 D’Aprile, Teresa 18 Bartolucci, Daniele 18 Del Pino, Manuel A. 14 Cao, Daomin 14 Peng, Shuangjie 13 Yan, Shusen 12 Clapp, Mónica 12 Ianni, Isabella 12 Jevnikar, Aleks 11 Bartsch, Thomas J. 11 de Marchis, Francesca 11 Esposito, Pierpaolo 11 Malchiodi, Andrea 11 Wu, Tsungfang 10 Deng, Shengbing 10 Lin, Chang-Shou 10 Noris, Benedetta 10 Takahashi, Futoshi 10 Yang, Wen 9 Bonheure, Denis 9 Yang, Haitao 8 Amadori, Anna Lisa 8 Baraket, Sami 8 Figueroa, Pablo 8 Guo, Yuxia 8 Lee, Youngae 8 Moameni, Abbas 7 Battaglia, Luca 7 Luo, Peng 7 Mahmoudi, Fethi 7 Weth, Tobias 7 Zhang, Yibin 6 Castéras, Jean-baptiste 6 Colasuonno, Francesca 6 Cowan, Craig 6 Dávila, Juan 6 Kowalczyk, Michał 6 Santra, Sanjiban 6 Vaira, Giusi 5 Ben Ayed, Mohamed 5 Guo, Yujin 5 Guo, Zongming 5 Li, Benniao 5 Micheletti, Anna Maria 5 Ouni, Taieb 5 Sciunzi, Berardino 4 Ackermann, Nils 4 Ao, Weiwei 4 Boscaggin, Alberto 4 Chang, Yibin 4 Choi, Woocheol 4 Dai, Qiuyi 4 Faya, Jorge 4 Goodrich, Christopher S. 4 Guo, Qianqiao 4 Kajikiya, Ryuji 4 Kim, Seunghyeok 4 Lin, Taichia 4 Liu, Zhongyuan 4 Luo, Yong 4 da Silva Montenegro, Marcelo 4 Moreira dos Santos, Ederson 4 Ould Bouh, Kamal 4 Plum, Michael 4 Ricciardi, Tonia 4 Ruf, Bernhard 4 Suzuki, Takashi 4 Tanaka, Kazuaki 4 Tang, Zhongwei 4 Troestler, Christophe 4 Wang, Liping 4 Ye, Dong 3 Ai, Shangbing 3 Berchio, Elvise 3 Damascelli, Lucio 3 De Regibus, Fabio 3 Ding, Yanheng 3 Do Ó, João M. Bezerra 3 Gesztesy, Fritz 3 Grumiau, Christopher 3 Han, Pigong 3 Hsu, TsingSan 3 Kouhestani, Najmeh 3 Lam, Nguyen 3 Lee, Ki-Ahm 3 Li, Gongbao 3 Li, Shuai 3 Maia, Liliane A. 3 Martinazzi, Luca 3 Michael, Isaac B. 3 Miyagaki, Olimpio Hiroshi 3 Naimen, Daisuke 3 Neves, Sérgio L. N. 3 Nguyen Tuan Duy ...and 405 more Authors
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### Cited in 126 Serials

 74 Journal of Differential Equations 56 Calculus of Variations and Partial Differential Equations 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal of Mathematical Analysis and Applications 27 Journal of Functional Analysis 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 21 Discrete and Continuous Dynamical Systems 19 Communications in Contemporary Mathematics 17 Advanced Nonlinear Studies 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Communications on Pure and Applied Analysis 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Communications in Partial Differential Equations 9 NoDEA. Nonlinear Differential Equations and Applications 9 Boundary Value Problems 8 Archive for Rational Mechanics and Analysis 8 Journal d’Analyse Mathématique 8 Transactions of the American Mathematical Society 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 7 Advances in Mathematics 7 Mathematische Annalen 7 Proceedings of the American Mathematical Society 6 Applied Mathematics Letters 5 Applicable Analysis 5 Archiv der Mathematik 5 Manuscripta Mathematica 5 Mathematische Nachrichten 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Fixed Point Theory and Applications 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Acta Mathematicae Applicatae Sinica. English Series 4 Abstract and Applied Analysis 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Advances in Nonlinear Analysis 3 Communications in Mathematical Physics 3 Journal of Mathematical Physics 3 Applied Mathematics and Computation 3 Duke Mathematical Journal 3 Asymptotic Analysis 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Discrete and Continuous Dynamical Systems. Series S 3 Nonlinear Analysis. Theory, Methods & Applications 2 Indian Journal of Pure & Applied Mathematics 2 Glasgow Mathematical Journal 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Ricerche di Matematica 2 Chinese Annals of Mathematics. Series B 2 Revista Matemática Iberoamericana 2 European Journal of Applied Mathematics 2 SIAM Journal on Applied Mathematics 2 Potential Analysis 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 Minimax Theory and its Applications 2 Electronic Research Archive 2 SN Partial Differential Equations and Applications 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Funkcialaj Ekvacioj. Serio Internacia 1 Integral Equations and Operator Theory 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Economics 1 Numerical Functional Analysis and Optimization 1 Pacific Journal of Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Publicacions Matemàtiques 1 Science in China. Series A 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Topological Methods in Nonlinear Analysis 1 International Journal of Modern Physics D 1 Electronic Journal of Differential Equations (EJDE) ...and 26 more Serials
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### Cited in 35 Fields

 596 Partial differential equations (35-XX) 53 Global analysis, analysis on manifolds (58-XX) 32 Operator theory (47-XX) 25 Fluid mechanics (76-XX) 18 Real functions (26-XX) 18 Quantum theory (81-XX) 17 Differential geometry (53-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Functional analysis (46-XX) 14 Biology and other natural sciences (92-XX) 13 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Numerical analysis (65-XX) 4 Potential theory (31-XX) 4 Optics, electromagnetic theory (78-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)