Multiplicity results for nonlocal critical elliptic problems

DOI10.1112/BLMS.13156MaRDI QIDQ6658732

Kanishka Perera, Said El Manouni

Publication date: 8 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

critical point theorymultiple solutionseigenvalue problems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Fractional partial differential equations (35R11)

Cites Work

• Existence results for fractional \(p\)-Laplacian problems via Morse theory
• Fractional Laplacian equations with critical Sobolev exponent
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• A critical fractional Laplace equation in the resonant case
• Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• A Brezis-Nirenberg result for non-local critical equations in low dimension
• Bifurcation and multiplicity results for critical fractional \(p\)-Laplacian problems
• The yamabe equation in a non-local setting
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Variational Methods for Nonlocal Fractional Problems
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• The Brezis-Nirenberg result for the fractional Laplacian

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