Harnack inequality for non-divergence structure semi-linear elliptic equations

DOI10.1515/ANONA-2016-0050zbMath1400.35053OpenAlexW2434361286MaRDI QIDQ1661690

Giovanni Porru, Ahmed Mohammed

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1515/anona-2016-0050

zbMATH Keywords

large solutionAlexandroff-Bakelman-Pucci maximum principlenon-divergence structure elliptic operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Related Items (6)

Harnack's inequality for porous medium equation with singular absorption term ⋮ Maximum principles for \(k\)-Hessian equations with lower order terms on unbounded domains ⋮ Large solutions of fully nonlinear equations: existence and uniqueness ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz-Sobolev spaces

Cites Work

• On the inequality \(\Delta u \geqq f (u)\)
• Asymptotic behavior of solutions of boundary blow-up problems
• Topics in regularity and qualitative properties of solutions of nonlinear elliptic equations
• A strong maximum principle for some quasilinear elliptic equations
• Harnack inequalities: an introduction
• Large solutions for Yamabe and similar problems on domains in Riemannian manifolds
• On solutions of δu=f(u)
• Elliptic Partial Differential Equations of Second Order
• Inequalities for the trace of matrix product
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