Asymptotically radial solutions to an elliptic problem on expanding annular domains in Riemannian manifolds with radial symmetry

DOI10.1186/s13661-016-0631-6zbMath1342.35035OpenAlexW2470309346WikidataQ59462285 ScholiaQ59462285MaRDI QIDQ737139

Filippo Morabito

Publication date: 8 August 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0631-6

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Boundary value problems on manifolds (58J32) Bifurcations in context of PDEs (35B32)

Cites Work

• Bifurcation and symmetry breaking for a class of semilinear elliptic equations in an annulus
• Asymptotically radial solutions in expanding annular domains
• Nonlinear elliptic equations on expanding symmetric domains
• Symmetry results for perturbed problems and related questions
• Canonical forms and structure theorems for radial solutions to semi-linear elliptic problems.
• Classification of radial solutions to the Emden-Fowler equation on the hyperbolic space
• Radial and non-radial solutions to an elliptic problem on annular domains in Riemannian manifolds with radial symmetry
• Stability and qualitative properties of radial solutions of the Lane-Emden-Fowler equation on Riemannian models
• On the positive, “radial” solutions of a semilinear elliptic equation in N $\mathbb {H}^N$
• On a semilinear elliptic equation in Hn
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• MULTIBUMP SOLUTIONS FOR AN ELLIPTIC PROBLEM IN EXPANDING DOMAINS
• A unified approach to the structure of radial solutions for semilinear elliptic problems

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