Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents

DOI10.1007/S11854-016-0025-9zbMath1355.35074OpenAlexW2508955163MaRDI QIDQ327611

Juan Dávila, Ignacio A. Guerra

Publication date: 19 October 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-016-0025-9

zbMATH Keywords

semilinear elliptic equationsground stateradially symmetric solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61)

Related Items (4)

Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers ⋮ Existence of solution for a supercritical nonlinear Schrödinger equation ⋮ A semilinear elliptic equation with competing powers and a radial potential ⋮ Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations

Cites Work

• Symmetry and related properties via the maximum principle
• ``Bubble-tower radial solutions in the slightly supercritical Brezis-Nirenberg problem.
• A resonance phenomenon for ground states of an elliptic equation of Emden--Fowler type.
• Ground states of semilinear elliptic equations: A geometric approach
• Ground states of a prescribed mean curvature equation
• ``Bubble-tower phenomena in a semilinear elliptic equation with mixed Sobolev growth
• Geometry of phase space and solutions of semilinear elliptic equations in a ball
• A Counterexample to the Nodal Domain Conjecture and a Related Semilinear Equation
• Global and local behavior of positive solutions of nonlinear elliptic equations

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