Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems

DOI10.1016/j.na.2024.113693MaRDI QIDQ6650553

Julián López-Gómez, Juan Carlos Sampedro

Publication date: 9 December 2024

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

a priori boundsmixed boundary conditionsblow-up estimatessuperlinear indefinite problemsweak Harnack inequalityreescaling arguments

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61)

Cites Work

• A priori estimates and existence of positive solutions of semilinear elliptic equations
• A priori bounds and multiple solutions for superlinear indefinite elliptic problems
• Superlinear indefinite elliptic problems and nonlinear Liouville theorems
• A priori estimates for prescribing scalar curvature equations
• Moving planes, moving spheres, and a priori estimates.
• A priori bounds and complete blow up of positive solutions of indefinite superlinear parabolic problems
• Optimal regularity conditions for elliptic problems via \(L^p_\delta\)-spaces
• Variational methods for indefinite superlinear homogeneous elliptic problems
• A new method of proving a priori bounds for superlinear elliptic PDE
• Sobolev embeddings, extensions and measure density condition
• Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations
• A priori bounds for positive solutions of nonlinear elliptic equations
• On a class of superlinear elliptic problems
• Linear Second Order Elliptic Operators

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