Concentration on Hopf-fibres for singularly perturbed elliptic equations

DOI10.1016/j.jfa.2014.07.018zbMath1297.35018OpenAlexW1991134478MaRDI QIDQ403325

Bernhard Ruf, P. N. Srikanth

Publication date: 29 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2014.07.018

zbMATH Keywords

superlinear elliptic equationHopf fibrationconcentrating solutionsannulus in \(\mathbb{R}^n\)nonlinearities of polynomial type

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Semilinear elliptic equations (35J61)

Related Items (10)

Hopf reduction and orbit concentrating solutions for a class of superlinear elliptic equations ⋮ Boundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundary ⋮ Concentration results for a singularly perturbed elliptic system with variable coefficients ⋮ Hopf fibration and singularly perturbed elliptic equations ⋮ Double- and single-layered sign-changing solutions to a singularly perturbed elliptic equation concentrating at a single sphere ⋮ On supercritical Sobolev type inequalities and related elliptic equations ⋮ Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold ⋮ Semiclassical states for a static supercritical Klein–Gordon–Maxwell–Proca system on a closed Riemannian manifold ⋮ Theoretical developments in the study of partial differential equations ⋮ A new type of nodal solutions to singularly perturbed elliptic equations with supercritical growth

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