Regularity and Pohozaev identity for the Choquard equation involving the \(p\)-Laplacian operator

DOI10.1016/j.aml.2023.108742zbMath1520.35089arXiv2306.10310OpenAlexW4379876409MaRDI QIDQ6170057

Vincenzo Ambrosio

Publication date: 15 August 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.10310

zbMATH Keywords

\(p\)-LaplacianChoquard equation\(L^\infty\)-estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• A guide to the Choquard equation
• Nonlinear scalar field equations. I: Existence of a ground state
• Regularity for a more general class of quasilinear equations
• Remarks on the Schrödinger operator with singular complex potentials
• On the regularity of solutions in the Pucci-Serrin identity
• Local behavior of solutions of quasi-linear equations
• Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method
• A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Some properties of weak solutions of nonlinear scalar field equations
• Existence of groundstates for a class of nonlinear Choquard equations

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