Multiple positive and 2-nodal symmetric solutions of elliptic problems with critical nonlinearity

DOI10.1016/j.jde.2007.03.002zbMath1131.35029OpenAlexW2048525465MaRDI QIDQ884401

Mónica Clapp, Alfredo Cano

Publication date: 6 June 2007

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2007.03.002

zbMATH Keywords

positive solutionssymmetric solutionscritical exponentnodal solutionsnonlinear elliptic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

Multiple sign-changing solutions for superlinear \((p,q)\)-equations in symmetrical expanding domains ⋮ Global compactness results for singular quasilinear elliptic problems with critical Sobolev exponents and applications ⋮ Solutions of elliptic problems of \(p\)-Laplacian type in a cylindrical symmetric domain ⋮ Nodal and positive solutions for singular semilinear elliptic equations with critical exponents in symmetric domains ⋮ Symmetric positive solutions for nonlinear boundary value problems with \(\phi\)-Laplacian operator ⋮ LEAST ENERGY NODAL SOLUTIONS OF THE BREZIS–NIRENBERG PROBLEM IN DIMENSION N = 5 ⋮ Existence of sign-changing solutions for semilinear singular elliptic equations with critical Sobolev exponents ⋮ Multiple solutions to the Bahri–Coron problem in domains with a shrinking hole of positive dimension

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