The Brezis-Nirenberg type problem for the \(p\)-Laplacian \((1 < p < 2)\): multiple positive solutions

DOI10.1016/j.jde.2018.10.004zbMath1408.58008OpenAlexW2897728444MaRDI QIDQ1720275

Giuseppina Vannella, Silvia Cingolani

Publication date: 8 February 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.10.004

zbMATH Keywords

Morse theorycritical Sobolev exponent\(p\)-Laplace operatorperturbation results

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Perturbations in context of PDEs (35B20) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

New multiplicity results for critical \(p\)-Laplacian problems ⋮ The Brézis-Nirenberg type problem for the \(p\)-Laplacian: infinitely many sign-changing solutions ⋮ Existence and nonexistence of solutions for elliptic problems with multiple critical exponents ⋮ Existence of constant sign and nodal solutions for a class of (p,q)-Laplacian-Kirchhoff problems ⋮ The effect of the domain topology on the number of positive solutions for fractional \(p\)-Laplacian equation with critical growth ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ Existence of solutions to a class of \(p\)-Kirchhoff equations via Morse theory ⋮ Multiple positive solutions for a p-Laplace Benci–Cerami type problem (1 < p < 2), via Morse theory

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