Least energy sign-changing solution to a fractional \(p\)-Laplacian problem involving singularities

DOI10.4310/DPDE.2020.V17.N2.A1zbMath1431.35050arXiv1906.02225OpenAlexW2948483446MaRDI QIDQ2302443

Debajyoti Choudhuri, Sekhar Ghosh, M. Kratou, Kamel Saoudi

Publication date: 26 February 2020

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02225

zbMATH Keywords

Brouwer degreesingularitysign-changing solutionsNehari manifoldfractional \(p\)-Laplacian

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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A critical elliptic problem involving exponential and singular nonlinearities ⋮ Small perturbations of critical nonlocal equations with variable exponents ⋮ Unnamed Item ⋮ On solutions for fractional \(N/s\)-Laplacian equations involving exponential growth

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