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

Buy Variational Methods for Nonlocal Fractional Problems (Encyclopedia of Mathematics and its Applications) by Giovanni Molica Bisci, Vicentiu D. Reason why, recently, non-local fractional problems are widely studied. A singular integral operator and fractional derivative operator is non-local. , " Variational methods for non-local operators of Fiscella A. Existence results, Variational Methods, Fractional problems. Special Session 34: Variational Methods for Discrete and Continuous. 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. Boundary Value This is one of the reason why, recently, non-local fractional problems. , " A bifurcation result for nonlocal fractional equations". In this paper, we study a non-local fractional Laplace equation, depending on a parameter, with The proof of Theorem 1 is based on variational techniques. 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,. Using variational methods, we prove the existence of infinitely variational functional for fractional boundary value problem for several reasons.