AbstractIn this paper we study the following p(x)-Laplacian problem: −div(a(x)|∇u|p(x)−2∇u)+b(x)|u|p(x)−2u=f(x,u),x∈Ω,u=0,on ∂Ω, where 1<p1⩽p(x)⩽p2<n, Ω⊂Rn is a bounded domain and applying the mountain pass theorem we obtain the existence of solutions in W01,p(x)(Ω) for the p(x)-Laplacian problems in the superlinear and sublinear cases
AbstractThis paper investigates the problem{−Δp(x)u+f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=...
Abstract. In this paper, our main purpose is to establish the existence of positive solution of the ...
In this paper, we deal with a specific type of quasilinear boundary value problem with Dirichlet bou...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)&VERBAR;&DEL; u&VERBAR;(p(x)-2...
In this paper we study the following $p(x)$-Laplacian problem: $$ \alignat 2 -\div(a(x)|\nabla u|^{p...
abstract: By applying two versions of Mountain Pass Theorem, we prove two different situations of th...
We study the following p(x)-Laplacian problem with singular term: -div⁡(|∇u|p(x)-2&#x...
Abstract. In this paper we study the existence of nontrivial solutions for the problem, ∆pu = |u|p−2...
AbstractIn this paper we study the existence of nontrivial solutions for the problem Δpu=|u|p−2u in ...
AbstractWe mainly consider the system{−Δp(x)u=λf(x,v)inΩ,−Δp(x)v=λg(x,u)inΩ,u=v=0on∂Ω, where Ω⊂RN is...
Abstract. We study the boundary value problem − div(|∇u|p(x)−2∇u) = f(x, u) in Ω, u = 0 on ∂Ω, wher...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu ...
AbstractWe show the existence and stability of solutions for a family of Dirichlet problems−div(Vz1(...
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Del...
AbstractThis paper investigates the problem{−Δp(x)u+f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=...
Abstract. In this paper, our main purpose is to establish the existence of positive solution of the ...
In this paper, we deal with a specific type of quasilinear boundary value problem with Dirichlet bou...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)&VERBAR;&DEL; u&VERBAR;(p(x)-2...
In this paper we study the following $p(x)$-Laplacian problem: $$ \alignat 2 -\div(a(x)|\nabla u|^{p...
abstract: By applying two versions of Mountain Pass Theorem, we prove two different situations of th...
We study the following p(x)-Laplacian problem with singular term: -div⁡(|∇u|p(x)-2&#x...
Abstract. In this paper we study the existence of nontrivial solutions for the problem, ∆pu = |u|p−2...
AbstractIn this paper we study the existence of nontrivial solutions for the problem Δpu=|u|p−2u in ...
AbstractWe mainly consider the system{−Δp(x)u=λf(x,v)inΩ,−Δp(x)v=λg(x,u)inΩ,u=v=0on∂Ω, where Ω⊂RN is...
Abstract. We study the boundary value problem − div(|∇u|p(x)−2∇u) = f(x, u) in Ω, u = 0 on ∂Ω, wher...
By a variant version of mountain pass theorem, the existence and multiplicity of solu-tions are obta...
We study the nonlinear elliptic boundary value problem $$ A u = f(x,u) quad { m in }Omega,,$$ $$ Bu ...
AbstractWe show the existence and stability of solutions for a family of Dirichlet problems−div(Vz1(...
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Del...
AbstractThis paper investigates the problem{−Δp(x)u+f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=...
Abstract. In this paper, our main purpose is to establish the existence of positive solution of the ...
In this paper, we deal with a specific type of quasilinear boundary value problem with Dirichlet bou...
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