Results 31 to 40 of about 389 (62)

The conformal Yamabe constant of product manifolds [PDF]

, 2011
Let (V,g) and (W,h) be compact Riemannian manifolds of dimension at least 3. We derive a lower bound for the conformal Yamabe constant of the product manifold (V x W, g+h) in terms of the conformal Yamabe constants of (V,g) and (W,h).Comment: 12 pages ...
Ammann, Bernd, Dahl, Mattias, Humbert, Emmanuel   +2 more
core   +3 more sources

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, Squassina Marco, Yang Yang   +2 more
doaj   +1 more source

Exponential decay of eigenfunctions and generalized eigenfunctions of a non self-adjoint matrix Schr\"odinger operator related to NLS

, 2007
We study the decay of eigenfunctions of the non self-adjoint matrix operator $\calH = (\begin{smallmatrix} -\Delta +\mu+U & W \W & \Delta -\mu -U \end{smallmatrix})$, for $\mu>0$, corresponding to eigenvalues in the strip ...
Hundertmark, Dirk, Lee, Young-Ran
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

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

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

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

Weyl-type laws for fractional p-eigenvalue problems

, 2014
We prove an asymptotic estimate for the growth of variational eigenvalues of fractional p-Laplacian eigenvalue problems on a smooth bounded domain.Comment: 10 ...
Iannizzotto, Antonio, Squassina, Marco
core   +1 more source

A shape optimization problem for Steklov eigenvalues in oscillating domains [PDF]

, 2015
In this paper we study the asymptotic behavior of some optimal design problems related to nonlinear Steklov eigenvalues, under irregular (but diffeomorphic) perturbations of the domain.Comment: Some typos ...
Bonder, Julián Fernández, Spedaletti, Juan F.   +1 more
core   +3 more sources

Pucci eigenvalues on geodesic balls

, 2016
We study the eigenvalue problem for the Riemannian Pucci operator on geodesic balls. We establish upper and lower bounds for the principal Pucci eigenvalues depending on the curvature, extending Cheng's eigenvalue comparison theorem for the Laplace ...
Ariturk, Sinan
core   +1 more source