Multiplicity of solutions for gradient systems
We establish the existence of nontrivial solutions for an elliptic system which is resonant both at the origin and at infinity. The resonance is given by an eigenvalue problem with indefinite weight, and the nonlinear term is permitted to be unbounded. Also, we consider the case where the resona...
Main Author: | Edcarlos D. Da Silva |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2010-05-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2010/64/abstr.html |
Similar Items
-
Existence and multiplicity of nontrivial solutions for double resonance semilinear elliptic problems
by: Abdel R. El Amrouss
Published: (2002-12-01) -
Existence and multiplicity of solutions for nonlinear equations involving the square root of the Laplacian
by: Yutong Chen, et al.
Published: (2017-09-01) -
Existence and multiplicity of periodic solutions for a second-order ODE at resonance with an Ahmad–Lazer–Paul condition
by: Noah Benjamin, et al.
Published: (2023-02-01) -
A critical point theorem and existence of multiple solutions for a nonlinear elliptic problem
by: Abdel Rachid El Amrouss, et al.
Published: (2015-02-01) -
An asymmetric problem at resonance with a one-sided Ahmad-Lazer-Paul condition
by: Leandro L. Recova, et al.
Published: (2021-10-01)