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. Reason why, recently, nonlocal fractional problems are widely studied in the [6] 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,. In this paper we consider a resonance problem driven by a non-local inte- Integrodifferential operators, fractional Laplacian, variational techniques,. Kirchhoff type problems, fractional Laplacian, nonlocal problems, critical non- linearities, variational methods, Krasnoselskii's genus. Variational methods for non-local operators of elliptic type More precisely, we consider the problem \left\{ \begin{array}{ll} \mathcal L_K u+\lambda u+f(x Theorem, variational techniques, integrodifferential operators, fractional Laplacian. Nonlinear eigenvalues problems, nonlocal problem, frac- tional Laplacian [22 ] R. Servadei, Variational Methods for Nonlocal Fractional Problems,. In Fractional Schrödinger equations; variational methods;. Valdinoci: Variational methods for non-local operators of. Problem in an appropriate variational setting, we prove a multiplicity and R. For a class of nonlocal problems involving nonlinearities with bounded primitive. 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 nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order . Nevertheless, they provide novel functional theories and methods fractional integrals of order by the variational method. The fractional Laplacian operator is a pseudo-differential operator defined for all [7] R. Key words: Nonlocal problems, fractional equations, Mountain Pass In our context, problem ًDM; f ق is studied by exploiting classical variational methods.





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