p-fractional Hardy–Schrödinger–Kirchhoff systems with critical nonlinearities

By A. Fiscella, Patrizia Pucci, Binlin Zhang. Advances in Nonlinear Analysis, 2018

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Abstract This paper deals with the existence of nontrivial solutions for critical Hardy–Schrödinger–Kirchhoff systems driven by the fractional p-Laplacian operator. Existence is derived as an application of the mountain pass theorem and the Ekeland variational principle. The main features and novelty of the paper are the presence of the Hardy terms as well as critical nonlinearities.

Subfields: Applied Mathematics, Computational Theory and Mathematics

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