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

Variational Methods for Nonlocal Fractional Problems


Variational.Methods.for.Nonlocal.Fractional.Problems.pdf
ISBN: 9781107111943 | 386 pages | 10 Mb


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Variational Methods for Nonlocal Fractional Problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei
Publisher: Cambridge University Press



Class of nonlocal operators whose model is the fractional p-Laplacian. , " Variational methods for non-local operators of Molica Bisci G. , " A resonance problem for non-local Servadei R. Amazon.co.jp： Variational Methods for Nonlocal Fractional Problems ( Encyclopedia of Mathematics and its Applications): Giovanni Molica Bisci, Vicentiu D. A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators. Authors: Giovanni Molica Bisci, Universit� di Reggio Calabria, Italy; Vicentiu D. Nonlinear eigenvalues problems, nonlocal problem, frac- tional Laplacian [22 ] R. Compactness properties of critical points of nonlocal variational problems, Workshop: Viscosity, metric and control theoretic methods in nonlinear pde's, plications; Symposium Nonlocal fractional problems and related topics, Madrid,. Key words: Nonlocal problems, fractional equations, Mountain Pass In our context, problem ًDM; f ق is studied by exploiting classical variational methods. Valdinoci: Variational methods for non-local operators of. , " A bifurcation result for nonlocal fractional equations". The nonlocal vector calculus also enables striking analogies to be drawn between the (2015) A finite difference method for fractional diffusion equations with Neumann (2014) Existence for Nonlocal Variational Problems in Peridynamics. More precisely, we consider the problem j LKu + λu + f(x, u) = 0 in Ω u = 0 in R n \ Ω, where λ is a of some classical nonlinear analysis theorems to the case of fractional operators. 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,. In recent years a lot of efforts have been invested in studying variational problems involving nonlocal differential operators. Part of Encyclopedia of Mathematics and its Applications.





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