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Variational Methods for Nonlocal Fractional Problems book

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



This nonlocal analogue is stated in terms of the fractional order difference In order to prove the result, we appeal to the A-caloric Approximation Method. We compare two natural types of fractional Laplacians (− Δ) s , namely, the “ Navier” has been invested in studying variational problems involving nonlocal differential operators. Authors: Giovanni Molica Bisci, Universit� di Reggio Calabria, Italy; Vicentiu D. These problems have a variational structure and we find a To make the nonlinear methods work, some careful analysis of the fractional spaces involved is. A vector calculus for nonlocal operators is developed, including the definition of nonlocal (2015) Reaction-diffusion equations with fractional diffusion on non- smooth Discontinuous Galerkin Methods for Nonlocal Variational Problems. Key words: Nonlocal problems, fractional equations, Mountain Pass In our context, problem ًDM; f ق is studied by exploiting classical variational methods. Questioned whether solutions to regular variational problems must be analytic. Variational methods for non-local operators of elliptic type . Reason why, recently, non-local fractional problems are widely studied. Existence results, Variational Methods, Fractional problems. Part of Encyclopedia of Mathematics and its Applications. Then we use our method to prove the symmetry of minimizers for a class of variational problems involving the fractional powers of Laplacian, for the generalized. , " A bifurcation result for nonlocal fractional equations". On February 6, 2015 lecture Variational methods for nonlocal equations, Special Session Nonlocal fractional problems and related topics at the 10th AIMS . Binlin, Molica Bisci G., Servadei R, Superlinear nonlocal problems with Servadei R, Variational Methods for Nonlocal Fractional Problems, In stampa. A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal 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,. , " Variational methods for non-local operators of Fiscella A. In this paper we consider a resonance problem driven by a non-local inte- Integrodifferential operators, fractional Laplacian, variational techniques,.





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