ON A NEUMANN PROBLEM WITH p-LAPLACIAN AND NONCOERCIVE RESONANT NONLINEARITY

被引：2

作者：

Marano, Salvatore A. ^{[1
]}

Papageorgiou, Nikolaos S. ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2011年 / 253卷 / 01期

关键词：

p-Laplacian; Neumann problem; noncoercive resonant nonlinearity; NON-DIFFERENTIABLE FUNCTIONS; MULTIPLE SOLUTIONS; SPECTRUM;

D O I：

10.2140/pjm.2011.253.103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using variational techniques and Morse theory, we establish three existence results for a Neumann boundary-value problem with p-Laplacian and Caratheodory reaction term, which can be (p-1)-asymptotically linear or sublinear at infinity. The hypotheses taken on permit resonance and make the corresponding energy functional noncoercive.

引用

页码：103 / 123

页数：21

共 50 条

[21] Solvability of Neumann boundary value problem for fractional p-Laplacian equation
Bo Zhang
Advances in Difference Equations, 2015
[22] Three Solutions for a Discrete Nonlinear Neumann Problem Involving the p-Laplacian
Candito, Pasquale
D'Agui, Giuseppina
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[23] On the eigencurves of one dimensional p-Laplacian with weights for an elliptic Neumann problem
Sanhaji, Ahmed
Dakkak, Ahmed
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2020, 69 (02) : 353 - 367
[24] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
Bonanno, G
Candito, P
ARCHIV DER MATHEMATIK, 2003, 80 (04) : 424 - 429
[25] Asymptotic behavior of solutions to a perturbed P-Laplacian problem with Neumann condition
de Medeiros, ES
Yang, JF
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2005, 12 (04) : 595 - 606
[26] Three solutions to a Neumann problem for elliptic equations involving the p-Laplacian
G. Bonanno
P. Candito
Archiv der Mathematik, 2003, 80 : 424 - 429
[27] On the eigencurves of one dimensional p-Laplacian with weights for an elliptic Neumann problem
Ahmed Sanhaji
Ahmed Dakkak
Rendiconti del Circolo Matematico di Palermo Series 2, 2020, 69 : 353 - 367
[28] Solvability of Neumann boundary value problem for fractional p-Laplacian equation
Zhang, Bo
ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 10
[29] THREE SOLUTIONS FOR A NEUMANN BOUNDARY VALUE PROBLEM INVOLVING THE p-LAPLACIAN
Averna, Diego
Bonanno, Gabriele
MATEMATICHE, 2005, 60 (01): : 81 - 91
[30] THE SPECTRUM AND AN INDEX FORMULA FOR THE NEUMANN p-LAPLACIAN AND MULTIPLE SOLUTIONS FOR PROBLEMS WITH A CROSSING NONLINEARITY
Aizicovici, S.
Papageorgiou, N. S.
Staicu, V.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 25 (02) : 431 - 456

← 1 2 3 4 5 →