AbstractUsing Moser's iteration method, we investigate the local boundedness of solutions for p(x)-Laplacian equations and derive a Harnack type inequality important for applications
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractWe study the compact embedding from W01,2(Ω) to Lq(x)(Ω) with a variable critical exponent 1...
AbstractIn this paper we deal with the following mixed Dirichlet–Neumann elliptic problems(1){−div(|...
AbstractThis paper investigates the problem{−Δp(x)u+f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=...
AbstractLet Ω be a bounded smooth domain in Rn (n⩾3). This paper deals with a sharp form of Moser–Tr...
AbstractIn this paper, we establish some multiplicity results for the following Neumann problem: −di...
We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a de...
Our aim in this paper is to prove the existence of tangential limits for Poisson integrals of the fr...
AbstractIn this paper, we study the existence of positive solutions and sign-changing solutions for ...
AbstractOur aim in this paper is to deal with Sobolev embeddings for Riesz potentials of order α for...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under so...
AbstractUnder nonstandard growth conditions, following Moser's iteration technique, we prove bounded...
We study a nonlinear anisotropic elliptic problem with non-local boundary conditions and measure dat...
AbstractWe study the differentiability of very weak solutions v∈L1(Ω) of (v,L⋆φ)0=(f,φ)0 for all φ∈C...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractWe study the compact embedding from W01,2(Ω) to Lq(x)(Ω) with a variable critical exponent 1...
AbstractIn this paper we deal with the following mixed Dirichlet–Neumann elliptic problems(1){−div(|...
AbstractThis paper investigates the problem{−Δp(x)u+f(x,u)=0in Ω,u(x)→+∞as d(x,∂Ω)→0, where −Δp(x)u=...
AbstractLet Ω be a bounded smooth domain in Rn (n⩾3). This paper deals with a sharp form of Moser–Tr...
AbstractIn this paper, we establish some multiplicity results for the following Neumann problem: −di...
We establish Hölder continuity of generalized solutions of the Dirichlet problem, associated to a de...
Our aim in this paper is to prove the existence of tangential limits for Poisson integrals of the fr...
AbstractIn this paper, we study the existence of positive solutions and sign-changing solutions for ...
AbstractOur aim in this paper is to deal with Sobolev embeddings for Riesz potentials of order α for...
AbstractWe prove local interior and boundary Lipschitz continuity of solutions of a free boundary pr...
In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under so...
AbstractUnder nonstandard growth conditions, following Moser's iteration technique, we prove bounded...
We study a nonlinear anisotropic elliptic problem with non-local boundary conditions and measure dat...
AbstractWe study the differentiability of very weak solutions v∈L1(Ω) of (v,L⋆φ)0=(f,φ)0 for all φ∈C...
AbstractLet Ω⊂Rn be a bounded connected open set with connected real analytic boundary. We show that...
AbstractWe study the compact embedding from W01,2(Ω) to Lq(x)(Ω) with a variable critical exponent 1...
AbstractIn this paper we deal with the following mixed Dirichlet–Neumann elliptic problems(1){−div(|...