Results 31 to 40 of about 410 (80)

Stability of eigenvalues for variable exponent problems

, 2015
In the framework of variable exponent Sobolev spaces, we prove that the variational eigenvalues defined by inf sup procedures of Rayleigh ratios for the Luxemburg norms are all stable under uniform convergence of the exponents.Comment: 10 ...
Colasuonno, Francesca, Squassina, Marco
core   +1 more source

A pathological example in nonlinear spectral theory

Advances in Nonlinear Analysis, 2017
We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
doaj   +1 more source

A Critical Point Theorem for Perturbed Functionals and Low Perturbations of Differential and Nonlocal Systems

Advanced Nonlinear Studies, 2020
In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar, Rădulescu Vicenţiu D., Winkert Patrick   +2 more
doaj   +1 more source

Eigenvalues homogenization for the fractional $p-$Laplacian operator [PDF]

, 2015
In this work we study the homogenization for eigenvalues of the fractional $p-$Laplace in a bounded domain both with Dirichlet and Neumann conditions. We obtain the convergence of eigenvalues and the explicit order of the convergence rates.Comment: 12 ...
Salort, Ariel M.
core  

Upper bounds for the eigenvalues of Hessian equations

, 2012
We prove some upper bounds for the Dirichlet eigenvalues of a class of fully nonlinear elliptic equations, namely the Hessian equationsComment: 15 pages, 1 ...
B Brandolini, B. Brandolini, B. Brandolini, D Geng, D Gilbarg, E Makai, Francesco Della Pietra, G Crasta, G Pólya, LE Payne, N Gavitone, NJ Korevaar, NS Trudinger, NS Trudinger, NS Trudinger, Nunzia Gavitone, P. Liu, P. Salani, P.-L. Lions, R Schneider, X Wang   +20 more
core   +1 more source

Limiting Sobolev inequalities and the 1-biharmonic operator

Advances in Nonlinear Analysis, 2014
In this article we present recent results on optimal embeddings, and associated PDEs, of the space of functions whose distributional Laplacian belongs to L1.
Parini Enea, Ruf Bernhard, Tarsi Cristina   +2 more
doaj   +1 more source

On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent [PDF]

, 2005
We consider a class of nonlinear Dirichlet problems involving the $p(x)$--Laplace operator. Our framework is based on the theory of Sobolev spaces with variable exponent and we establish the existence of a weak solution in such a space.
Dinu, Teodora Liliana
core   +7 more sources

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

Advances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas, Guiro Aboudramane, Nyanquini Ismael   +2 more
doaj  

Some hemivariational inequalities in the Euclidean space

Advances in Nonlinear Analysis, 2019
The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
doaj   +1 more source

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source