AbstractIn this paper, we discuss the following eigenvalue problem−D(|Du|p−2Du)=λ|u|p−2u,in RN, where 1<p<N, λ∈R is an eigenvalue and u≢0 is an eigenfunction. The main purpose of this paper is to prove that the weak form of the eigenvalue problem∫RN|Du|p−2DuDφdx=λ∫RN|u|p−2uφdx,∀φ∈W1,p(RN), has only the trivial solution for any p
We study a multiplicity result for the perturbed p-Laplacian equation −∆pu− λg(x)|u|p−2u = f (x,u) +...
Abstract. Given a bounded domain Ω ⊂ Rn, numbers p> 1, α ≥ 0 and A ∈ [0, |Ω|], consider the optim...
We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda ...
In this paper, we discuss the following eigenvalue problem -D(vertical bar Du vertical bar(p-2)Du...
AbstractThis paper deals with the eigenvalue problem involving the p(x)-Laplacian of the form{−div(|...
AbstractIn this paper we study the behaviour of the solutions to the eigenvalue problem correspondin...
We consider the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du|p)|Du|p−2...
AbstractThis paper studies the eigenvalues of the p(x)-Laplacian Dirichlet problem −div(|∇u|p(x)−2∇u...
Abstract. In this paper, we show that for each λ ∈ R, there is an increasing sequence of eigenvalues...
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplaci...
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbat...
In this paper, we study the behavior as p→ ∞ of eigenvalues and eigenfunctions of a system of p-Lapl...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
We study a multiplicity result for the perturbed p-Laplacian equation −∆pu− λg(x)|u|p−2u = f (x,u) +...
Abstract. Given a bounded domain Ω ⊂ Rn, numbers p> 1, α ≥ 0 and A ∈ [0, |Ω|], consider the optim...
We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda ...
In this paper, we discuss the following eigenvalue problem -D(vertical bar Du vertical bar(p-2)Du...
AbstractThis paper deals with the eigenvalue problem involving the p(x)-Laplacian of the form{−div(|...
AbstractIn this paper we study the behaviour of the solutions to the eigenvalue problem correspondin...
We consider the eigenvalue problem for the following p-Laplacian-like equation: −div(a(|Du|p)|Du|p−2...
AbstractThis paper studies the eigenvalues of the p(x)-Laplacian Dirichlet problem −div(|∇u|p(x)−2∇u...
Abstract. In this paper, we show that for each λ ∈ R, there is an increasing sequence of eigenvalues...
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplaci...
Using a variational approach, we investigate the existence of solutions for non-autonomous perturbat...
In this paper, we study the behavior as p→ ∞ of eigenvalues and eigenfunctions of a system of p-Lapl...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
For the p-Laplacian p = div:(| |p–2), p>1, the eigenvalue problem –p + q(|x|)||p–2 = ||p–2 i...
We study a multiplicity result for the perturbed p-Laplacian equation −∆pu− λg(x)|u|p−2u = f (x,u) +...
Abstract. Given a bounded domain Ω ⊂ Rn, numbers p> 1, α ≥ 0 and A ∈ [0, |Ω|], consider the optim...
We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda ...
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