Multiplicity results for critical \(p\)-Laplacian problems

DOI10.1007/s10231-016-0622-3zbMath1376.35079arXiv1608.03266OpenAlexW2513388614MaRDI QIDQ2406446

Pasquale Candito, Giuseppina Barletta, Salvatore A. Marano, Perera, Kanishka

Publication date: 29 September 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.03266

zbMATH Keywords

critical Sobolev exponent\(p\)-Laplacian

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (6)

Existence and multiplicity results for fractional Schrödinger equation with critical growth ⋮ Nonlinear elliptic \(\mathrm{p}\)-Laplacian equations in the whole space ⋮ Existence of ground states to the double-type nonlinear \(p\)-Laplace problem involving Sobolev critical Exponent ⋮ Entire nodal solutions to the pure critical exponent problem for the \(p\)-Laplacian ⋮ Multiple positive solutions to critical p-Laplacian equations with vanishing potential ⋮ Analysis of a low linear perturbed Choquard equation with critical growth

Cites Work

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• A global compactness result for the \(p\)-Laplacian involving critical nonlinearities
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• Multiple Solutions of Nonlinear Scalar Field Equations
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Location, multiplicity and Morse indices of min-max critical points.
• A MULTIPLICITY RESULT FOR ELLIPTIC EQUATIONS AT CRITICAL GROWTH IN LOW DIMENSION

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