Results 31 to 40 of about 382 (61)
A note on the Dancer–Fučík spectra of the fractional p-Laplacian and Laplacian operators
Advances in Nonlinear Analysis, 2015 We study the Dancer–Fučík spectrum of the fractional p-Laplacian operator. We construct an unbounded sequence of decreasing curves in the spectrum using a suitable minimax scheme. For p = 2, we present a very accurate local analysis.
Perera Kanishka +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
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 +2 more
doaj +1 more source
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
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 +2 more
doaj +1 more source
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
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 +2 more
core +1 more source
On the solvability of discrete nonlinear Neumann problems involving the
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 +2 more
doaj
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
Existence results for double-phase problems via Morse theory
, 2016 We obtain nontrivial solutions for a class of double-phase problems using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups at zero.Comment: 11 ...
Perera, Kanishka, Squassina, Marco
core +1 more source