On the moving plane method for boundary blow-up solutions to semilinear elliptic equations

DOI10.1515/anona-2017-0221zbMath1422.35070OpenAlexW2819772871WikidataQ129533141 ScholiaQ129533141MaRDI QIDQ2311813

Annamaria Canino, Berardino Sciunzi, Alessandro Trombetta

Publication date: 4 July 2019

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

Full work available at URL: https://doi.org/10.1515/anona-2017-0221

zbMATH Keywords

radial symmetrymoving plane methodsemilinear equation with Laplacian

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Global strong solution of fourth order nonlinear wave equation ⋮ Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains ⋮ Weak approximative compactness of hyperplane and Asplund property in Musielak-Orlicz-Bochner function spaces ⋮ Sobolev regularity solutions for a class of singular quasilinear ODEs

Cites Work

• Unnamed Item
• Unnamed Item
• Existence and uniqueness for \(p\)-Laplace equations involving singular nonlinearities
• Entire large solutions for semilinear elliptic equations
• Uniqueness of large solutions
• On the inequality \(\Delta u \geqq f (u)\)
• Boundary blow-up solutions in the unit ball: asymptotics, uniqueness and symmetry
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• Boundary blow up for semilinear elliptic equations with nonlinear gradient terms
• Large solutions of elliptic semilinear equations in the borderline case. an exhaustive and intrinsic point of view
• The moving plane method for singular semilinear elliptic problems
• Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities
• Symmetry of large solutions of nonlinear elliptic equations in a ball
• On Explosive Solutions for a Class of Quasi-linear Elliptic Equations
• On solutions of δu=f(u)
• Boundary blow-up in nonlinear elliptic equations of Bieberbach–Rademacher type
• Asymptotic Behaviour of the Gradient of Large Solutions to Some Nonlinear Elliptic Equations
• Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary
• On the method of moving planes and the sliding method
• ‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential
• Back to the Keller-Osserman Condition for Boundary Blow-up Solutions

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