Fractional \((p, q)\)-Schrödinger equations with critical and supercritical growth

DOI10.1007/s00245-022-09893-wzbMath1497.35490OpenAlexW4295359202WikidataQ114230594 ScholiaQ114230594MaRDI QIDQ2675234

Vincenzo Ambrosio

Publication date: 21 September 2022

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-022-09893-w

zbMATH Keywords

critical exponentpenalization techniqueLjusternik-Schnirelmann theoryfractional \((p, q)\)-Laplacian problem

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

An existence result for a fractional critical \((p, q)\)-Laplacian problem with discontinuous nonlinearity ⋮ Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique ⋮ Global existence for parabolic \(p\)-Laplace equations with supercritical growth in whole \(\mathbb{R}^N\)

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