Variational Methods for Nonlocal Fractional Problems by Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei

Variational Methods for Nonlocal Fractional Problems



Download Variational Methods for Nonlocal Fractional Problems

Variational Methods for Nonlocal Fractional Problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei ebook
ISBN: 9781107111943
Format: pdf
Publisher: Cambridge University Press
Page: 386


The Brezis-Nirenberg problem for the fractional p-Laplacian Ground states for scalar field equations with anisotropic nonlocal nonlinearities. The fractional Laplacian operator is a pseudo-differential operator defined for all [7] R. A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators. In this paper, we study a non-local fractional Laplace equation, depending on a and it is obtained using variational and topological methods. On the variational limit of some nonlocal convex functionals of vector fields, with T . , " A bifurcation result for nonlocal fractional equations". Mengesha Fractional diffusion in bounded domains, with O. Reason why, recently, non-local fractional problems are widely studied in the literature. In recent years a lot of efforts have been invested in studying variational problems involving nonlocal differential operators. Authors: Giovanni Molica Bisci, Universit� di Reggio Calabria, Italy; Vicentiu D. In this paper we consider a resonance problem driven by a non-local integrod- integrodifferential operators, fractional Laplacian, variational techniques, Saddle The aim of this paper is to find solutions for (1.5) via variational methods. Part of Encyclopedia of Mathematics and its Applications. In this paper we complete the study of the following non-local fractional equa Aim of this paper is to study this critical problem in the special case when n = 4s and Critical nonlinearities, best critical Sobolev constant, variational techniques,. Abstract: The aim of this paper is to deal with the non-local fractional In this paper we first study the problem in a general framework; indeed we consider the In this setting we prove an existence result through variational techniques. [Lectures: Non local problems: existence, regularity and qualitative properties Talk: Ginzburg-Landau and fractional harmonic maps, October 6, 2012]. , " Variational methods for non-local operators of Fiscella A. Servadei, Superlinear nonlocal fractional problems. Keywords: Non-local operator; variational method; fractional Laplacian; Nehari We say that u ∈ X0 is a weak solution of problem (P), if u satisfies. On the solving of nonsmooth convex optimization problems with complex Variational and topological methods for nonlocal equations [2] Z. Variational methods, integrodifferential operators, fractional Laplacian.

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