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Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
(Univ Szeged, 2017-11)
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces. As an application we ...
Multiple solutions for a problem with resonance involving the p-Laplacian
(Abstract and Applied Analysis, 2018)
Exponential stability for a plate equation with p-Laplacian and memory terms
(WILEY-BLACKWELLMALDEN, 2012)
This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p-Laplacian type, utt+?2u-?pu+?0tg(t-s)?u(s)ds-?ut+f(u)=0inOXR+, with simply supported boundary ...
Remarks on an optimization problem for the p-Laplacian
(Pergamon-Elsevier Science Ltd, 2010-02)
In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the p−Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.
Non-resonant Fredholm alternative and anti-maximum principle for the fractional p-Laplacian
(Springer, 2017-03)
In this paper we extend two nowadays classical results to a nonlinear Dirichlet problem to equations involving the fractional p-Laplacian. The first result is an existence in a non-resonant range more specific between the ...
RESONANCE AND NONRESONANCE FOR P-LAPLACIAN PROBLEMS WITH WEIGHTED EIGENVALUES CONDITIONS
(Amer Inst Mathematical SciencesSpringfieldEUA, 2009)
Anisotropic p, q-laplacian equations when p goes to 1
(Elsevier, 2010-12)
In this paper we prove a stability result for an anisotropic elliptic problem. More precisely, we consider the Dirichlet problem for an anisotropic equation, which is as the p–Laplacian equation with respect to a group of ...
Soluções positivas para equações elípticas com operadores fracionários
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-03-18)
In this work, we present results of existence, non-existence and multiplicity of positive
solutions to elliptic problems involving the fractional p-Laplacian operator and the
fractional Laplacian in the critical case, ...
The first non-zero Neumann p-fractional eigenvalue
(Pergamon-Elsevier Science Ltd, 2015-01)
In this work we study the asymptotic behavior of the first non-zero Neumann p-fractional eigenvalue λ1(s,p) as s → 1- and as p → ∞. We show that there exists a constant K such that K(1-s)λ1(s,p) goes to the first non-zero ...
Eigenvalues homogenization for the fractional p-laplacian
(Texas State University. Department of Mathematics, 2016-12)
In this work we study the homogenization for eigenvalues of the fractional p-Laplace operator in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order ...