Add to ORKGAbstract. In this paper we study the existence problem for the p(x)−Laplacian operator with a nonlinear critical source. We find a local condition on the exponents ensuring the existence of a nontrivial solution that shows that the Pohozaev obstruction does not holds in general in the variable exponent setting. The proof relies on the Concentration–Compactness Principle for variable exponents and the Mountain Pass Theorem. 1
In the present paper, by using variational principle, we obtain the existence and multiplicity of so...
summary:In this work, by using the Mountain Pass Theorem, we give a result on the existence of solut...
We consider the problem on nonexistence of positive solutions for some nonlinear elliptic inequaliti...
Abstract. In this paper we study sufficient local conditions for the existence of non-trivial soluti...
The purpose of this paper is to formulate sufficient existence conditions for a critical equation in...
Abstract. In this paper we extend the well-known concentration – compactness principle of P.L. Lions...
In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. ...
Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equat...
In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian ...
We prove the existence of solutions for a class of quasilinear problems involving variable exponents...
Abstract The main purpose of this paper is to establish the existence and multiplicity of nontrivial...
In this paper we investigate the critical exponents of two families of Pucci's extremal operators. T...
We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involvin...
We consider the following nonlinear parabolic equation: ut-div(|∇u|p(x)-2∇u)=f(x,t), where f:Ω×(0,T)...
AbstractThis paper discussed the Dirichlet problem for a p-Laplace equation with critial exponent.We...
In the present paper, by using variational principle, we obtain the existence and multiplicity of so...
summary:In this work, by using the Mountain Pass Theorem, we give a result on the existence of solut...
We consider the problem on nonexistence of positive solutions for some nonlinear elliptic inequaliti...
Abstract. In this paper we study sufficient local conditions for the existence of non-trivial soluti...
The purpose of this paper is to formulate sufficient existence conditions for a critical equation in...
Abstract. In this paper we extend the well-known concentration – compactness principle of P.L. Lions...
In this work, we deal with elliptic systems under critical growth conditions on the nonlinearities. ...
Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equat...
In this article we study two problems, a nonlinear eigenvalue problem involving the p(x)-Laplacian ...
We prove the existence of solutions for a class of quasilinear problems involving variable exponents...
Abstract The main purpose of this paper is to establish the existence and multiplicity of nontrivial...
In this paper we investigate the critical exponents of two families of Pucci's extremal operators. T...
We study a class of nonhomogeneous elliptic problems with Dirichlet boundary condition and involvin...
We consider the following nonlinear parabolic equation: ut-div(|∇u|p(x)-2∇u)=f(x,t), where f:Ω×(0,T)...
AbstractThis paper discussed the Dirichlet problem for a p-Laplace equation with critial exponent.We...
In the present paper, by using variational principle, we obtain the existence and multiplicity of so...
summary:In this work, by using the Mountain Pass Theorem, we give a result on the existence of solut...
We consider the problem on nonexistence of positive solutions for some nonlinear elliptic inequaliti...