On elliptic problems with Choquard term and singular nonlinearity

DOI10.3233/asy-221812zbMath1530.35275arXiv2305.03974OpenAlexW4309066201MaRDI QIDQ6163330

Dušan D. Repovš, Kamel Saoudi, Debajyoti Choudhuri

Publication date: 26 June 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.03974

zbMATH Keywords

variational methoddual Fountain theoremChoquard term

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Weak solutions to PDEs (35D30) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)

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Cites Work

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• Global Hölder regularity for the fractional \(p\)-Laplacian
• A guide to the Choquard equation
• Fractional Choquard equation with critical nonlinearities
• On gravity's role in quantum state reduction
• Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities
• A critical fractional Choquard problem involving a singular nonlinearity and a Radon measure
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• The Choquard equation and related questions
• Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
• Nonlinear Analysis - Theory and Methods
• Multiplicity and Hölder regularity of solutions for a nonlocal elliptic PDE involving singularity