AbstractIn this paper we study the existence of nontrivial solution of the problem −Δpu−(μ/[d(x)]p)|u|p−2u=f(u) in Ω and u=0 on ∂Ω, where Ω=Ω′×RN−k,Ω′ is a bounded domain with smooth boundary in Rk,1<k<N. Existence is established using mountain-pass lemma and concentration of compactness principle
Let Ω⊂ℝ n , n≥1, be a bounded domain and A an elliptic operator given by Au=∑ i,j=1 n ∂ ∂x i (a ij (...
AbstractLet Ω be a bounded domain in RN (N ⩾ 2) with smooth boundary ∂Ω. Let ƒ(·):R → R be a continu...
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
Let Ω be a bounded domain in ℝn n ≥ 3 and 0 ∈ Ω. It is known that the heat problem ∂u/∂t + L λ*u = 0...
AbstractIn this paper we study the existence of nontrivial solutions for the problem Δpu=|u|p−2u in ...
abstract: By applying two versions of Mountain Pass Theorem, we prove two different situations of th...
AbstractWe study the regularity, Palais–Smale characterization and existence/nonexistence of solutio...
International audienceWe investigate the Hardy-Schrödinger operator Lγ = −∆ − γ |x| 2 on domains Ω ⊂...
Abstract. In this paper we study the existence of nontrivial solutions for the problem, ∆pu = |u|p−2...
AbstractIn this paper we study the following p(x)-Laplacian problem: −div(a(x)|∇u|p(x)−2∇u)+b(x)|u|p...
37 ppInternational audienceWe study existence and uniqueness of solutions of (E 1) −∆u + µ |x| ^{-2}...
AbstractWe deal with domains with infinite inner radius. More precisely, we introduce a new geometri...
Let $\Omega$ be a smooth bounded domain in R^n (n ≥ 3) such that 0 ∈ ∂Ω. We consider issues of non-e...
AbstractWe study the boundary value problem −div(log(1+|∇u|q)|∇u|p−2∇u)=f(u) in Ω, u=0 on ∂Ω, where ...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)&VERBAR;&DEL; u&VERBAR;(p(x)-2...
Let Ω⊂ℝ n , n≥1, be a bounded domain and A an elliptic operator given by Au=∑ i,j=1 n ∂ ∂x i (a ij (...
AbstractLet Ω be a bounded domain in RN (N ⩾ 2) with smooth boundary ∂Ω. Let ƒ(·):R → R be a continu...
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
Let Ω be a bounded domain in ℝn n ≥ 3 and 0 ∈ Ω. It is known that the heat problem ∂u/∂t + L λ*u = 0...
AbstractIn this paper we study the existence of nontrivial solutions for the problem Δpu=|u|p−2u in ...
abstract: By applying two versions of Mountain Pass Theorem, we prove two different situations of th...
AbstractWe study the regularity, Palais–Smale characterization and existence/nonexistence of solutio...
International audienceWe investigate the Hardy-Schrödinger operator Lγ = −∆ − γ |x| 2 on domains Ω ⊂...
Abstract. In this paper we study the existence of nontrivial solutions for the problem, ∆pu = |u|p−2...
AbstractIn this paper we study the following p(x)-Laplacian problem: −div(a(x)|∇u|p(x)−2∇u)+b(x)|u|p...
37 ppInternational audienceWe study existence and uniqueness of solutions of (E 1) −∆u + µ |x| ^{-2}...
AbstractWe deal with domains with infinite inner radius. More precisely, we introduce a new geometri...
Let $\Omega$ be a smooth bounded domain in R^n (n ≥ 3) such that 0 ∈ ∂Ω. We consider issues of non-e...
AbstractWe study the boundary value problem −div(log(1+|∇u|q)|∇u|p−2∇u)=f(u) in Ω, u=0 on ∂Ω, where ...
In this paper we study the following p(x)-Laplacian problem: -div(a(x)&VERBAR;&DEL; u&VERBAR;(p(x)-2...
Let Ω⊂ℝ n , n≥1, be a bounded domain and A an elliptic operator given by Au=∑ i,j=1 n ∂ ∂x i (a ij (...
AbstractLet Ω be a bounded domain in RN (N ⩾ 2) with smooth boundary ∂Ω. Let ƒ(·):R → R be a continu...
AbstractAssume that Ω is a bounded domain in RN (N⩾3) with smooth boundary ∂Ω. In this work, we stud...
DOI
Add to ORKG