Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight
Authors
Abstract:
This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight. We apply the variational methods to prove the existence of ground state solution.
similar resources
Existence of a ground state solution for a class of $p$-laplace equations
According to a class of constrained minimization problems, the Schwartz symmetrization process and the compactness lemma of Strauss, we prove that there is a nontrivial ground state solution for a class of $p$-Laplace equations without the Ambrosetti-Rabinowitz condition.
full textExistence and uniqueness of weak solutions for a class of nonlinear divergence type diffusion equations
In this paper, we study the Neumann boundary value problem of a class of nonlinear divergence type diffusion equations. By a priori estimates, difference and variation techniques, we establish the existence and uniqueness of weak solutions of this problem.
full textExistence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using Mountain Pass Lemma, we establish the existence of at least one solution with positive energy.
full textexistence of a ground state solution for a class of $p$-laplace equations
according to a class of constrained minimization problems, the schwartz symmetrization process and the compactness lemma of strauss, we prove that there is a nontrivial ground state solution for a class of $p$-laplace equations without the ambrosetti-rabinowitz condition.
full textExistence of Solutions for Quasilinear Elliptic Equations with Nonlinear Boundary Conditions and Indefinite Weight
In this article, we establish the existence and non-existence of solutions for quasilinear equations with nonlinear boundary conditions and indefinite weight. Our proofs are based on variational methods and their geometrical features. In addition, we prove that all the weak solutions are in C1,β(Ω) for some β ∈ (0, 1).
full textexistence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions
this study concerns the existence and multiplicity of positive weak solutions for a class ofsemilinear elliptic systems with nonlinear boundary conditions. our results is depending onthe local minimization method on the nehari manifold and some variational techniques. alsoby using mountain pass lemma, we establish the existence of at least one solution withpositive energy.
full textMy Resources
Journal title
volume 43 issue 7
pages 2111- 2124
publication date 2017-12-01
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023