By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obtained for a class of superlinear p-Laplacian equations: −Δpu = f (x,u). In this paper, we suppose neither f satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor f (x, t)/|t|p−1 is nondecreasing with respect to |t|. Copyright © 2006 J. Wang and C.-L. Tang. This is an open access article distributed un-der the Creative Commons Attribution License, which permits unrestricted use, distri-bution, and reproduction in any medium, provided the original work is properly cited. 1. Introduction an
We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Lapla...
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Del...
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear e...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
The goal of this paper is to study the multiplicity of positive solutions of a class of quasilinear ...
We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian ope...
In this paper we study second order elliptic equations driven by the Laplacian and p-Laplacian diff...
In this article, we consider a superlinear p-Laplacian equation which does not satisfy the Ambrosett...
Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of super...
Existence and multiplicity results are obtained for superlinear p-Laplacian equations without the Am...
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu ...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)|&DEL; u|(p(x)-2...
AbstractIn this paper we study the following p(x)-Laplacian problem: −div(a(x)|∇u|p(x)−2∇u)+b(x)|u|p...
AbstractUsing the Mountain-Pass Theorem of Ambrosetti and Rabinowitz we prove that −Δpu−μ|x|−pup−1=|...
We consider the following problem: -Δpu=c(x)|u|q-1u+μ|∇u|p+h(x) in Ω, u=0 on ∂Ω, where Ω is a b...
We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Lapla...
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Del...
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear e...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
The goal of this paper is to study the multiplicity of positive solutions of a class of quasilinear ...
We consider Dirichlet boundary value problems for equations involving the (p(z), q(z))-Laplacian ope...
In this paper we study second order elliptic equations driven by the Laplacian and p-Laplacian diff...
In this article, we consider a superlinear p-Laplacian equation which does not satisfy the Ambrosett...
Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of super...
Existence and multiplicity results are obtained for superlinear p-Laplacian equations without the Am...
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu ...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)|&DEL; u|(p(x)-2...
AbstractIn this paper we study the following p(x)-Laplacian problem: −div(a(x)|∇u|p(x)−2∇u)+b(x)|u|p...
AbstractUsing the Mountain-Pass Theorem of Ambrosetti and Rabinowitz we prove that −Δpu−μ|x|−pup−1=|...
We consider the following problem: -Δpu=c(x)|u|q-1u+μ|∇u|p+h(x) in Ω, u=0 on ∂Ω, where Ω is a b...
We consider a parametric nonlinear Robin problem driven by the sum of a p-Laplacian and of a q-Lapla...
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Del...
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear e...