Morse index and critical groups for \(p\)-Laplace equations with critical exponents

DOI10.1007/S00009-006-0093-7zbMath1167.58305OpenAlexW1972507841MaRDI QIDQ2390660

Silvia Cingolani, Giuseppina Vannella

Publication date: 3 August 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-006-0093-7

zbMATH Keywords

critical exponentMorse indexcritical group\(p\)-Laplace equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations in context of PDEs (35B20)

Related Items (10)

Amann-Zehnder type results for \(p\)-Laplace problems ⋮ Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ On the Fenchel-Moreau conjugate of \(G\)-function and the second derivative of the modular in anisotropic Orlicz spaces ⋮ On local Morse theory for \(p\)-area functionals, \(p > 2\) ⋮ The Brezis-Nirenberg type problem for the \(p\)-Laplacian \((1 < p < 2)\): multiple positive solutions ⋮ Critical groups and multiple solutions for Kirchhoff type equations with critical exponents ⋮ On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators ⋮ Regularity and Morse Index of the Solutions to Critical Quasilinear Elliptic Systems ⋮ Multiple positive solutions for a critical quasilinear equation via Morse theory

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