Existence and concentration of positive solutions for \(p\)-fractional Schrödinger equations

DOI10.1007/s10231-019-00880-7zbMath1431.35222OpenAlexW2950204982MaRDI QIDQ2297634

Giovany M. Figueiredo, Teresa Isernia, Vincenzo Ambrosio

Publication date: 20 February 2020

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-019-00880-7

zbMATH Keywords

variational methodscritical exponentfractional Schrödinger equationfractional \(p\)-Laplacian operator

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional partial differential equations (35R11)

Related Items (9)

Positive solutions for a class of fractional \(p\)-Laplacian equation with critical Sobolev exponent and decaying potentials ⋮ Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Unnamed Item ⋮ Multiplicity and concentration of solutions for a fractional \(p\)-Kirchhoff type equation ⋮ Critical fractional \(p\)-Laplacian system with negative exponents ⋮ Multi-peak solutions of a class of fractional \(p\)-Laplacian equations ⋮ Stability of solutions for nonlocal problems ⋮ Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth ⋮ Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

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