A class of semipositone \(p\)-Laplacian problems with a critical growth reaction term

DOI10.1515/anona-2020-0012zbMath1421.35178arXiv1612.08921OpenAlexW2964123289MaRDI QIDQ2311848

Inbo Sim, Ratnasingham Shivaji, Perera, Kanishka

Publication date: 4 July 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08921

zbMATH Keywords

concentration compactness argumentscritical semipositone \(p\)-Laplacian problemsground state positive solutionsuniform \(C^{1, \alpha}\) a priori estimates

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) A priori estimates in context of PDEs (35B45) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with (p)-Laplacian (35J92)

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Cites Work

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• The concentration-compactness principle in the calculus of variations. The limit case. I
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Positive solutions of elliptic non-positone problems
• Positive solutions for some semi-positone problems via bifurcation theory
• Multiplicity of positive solutions for some quasilinear elliptic equations in \(\mathbb{R}^N\) with critical Sobolev exponent
• Dual variational methods in critical point theory and applications
• A strong maximum principle for some quasilinear elliptic equations
• Local ``superlinearity and ``sublinearity for the \(p\)-Laplacian
• Existence of positive solutions for a semipositone p-Laplacian problem
• Quasilinear elliptic equations involving critical Sobolev exponents
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Existence of positive solutions for a class of p-Laplacian superlinear semipositone problems
• On the Existence of Positive Solutions of Semilinear Elliptic Equations