Nodal bubble-tower solutions to radial elliptic problems near criticality

DOI10.3934/dcds.2006.16.525zbMath1387.35212OpenAlexW2095217038MaRDI QIDQ874718

Manuel A. del Pino, Andres Contreras

Publication date: 10 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.525

zbMATH Keywords

sign-changing solutionsnearly critical problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Nodal bubble-tower solutions for a semilinear elliptic problem with competing powers ⋮ Sign-changing solutions at the almost Hénon critical exponent ⋮ Sign-changing bubble tower solutions for the supercritical Hénon-type equations ⋮ A semilinear elliptic equation with competing powers and a radial potential ⋮ Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds ⋮ ``Bubble-tower phenomena in a semilinear elliptic equation with mixed Sobolev growth ⋮ Bubble tower phenomena for an almost critical Hénon type problem ⋮ Nonexistence Results of Sign-changing solutions for a Supercritical Problem of the Scalar Curvature Type

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