On the existence of ground state solutions to critical growth problems nonresonant at zero

DOI10.5802/crmath.270zbMath1487.35213arXiv2106.12170OpenAlexW3214284069MaRDI QIDQ2240588

Perera, Kanishka

Publication date: 4 November 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12170

zbMATH Keywords

\(p\)-Laplaciancritical growthexistence of a ground state solution

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

A priori estimates for the fractional \(p\)-Laplacian with nonlocal Neumann boundary conditions and applications

Cites Work

• Unnamed Item
• Ground state and multiple solutions for a critical exponent problem
• The Brezis-Nirenberg problem for the fractional \(p\)-Laplacian
• Bifurcation and multiplicity results for critical \(p\)-Laplacian problems
• Ground state solutions for a semilinear problem with critical exponent.
• Linking solutions for \(p\)-Laplace equations with nonlinearity at critical growth
• Existence and nonexistence results for m-Laplace equations involving critical Sobolev exponents
• Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
• Some results on \(p\)-Laplace equations with a critical growth term.
• Bifurcation and multiplicity results for critical fractionalp-Laplacian problems
• Quasilinear elliptic equations involving critical Sobolev exponents

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