Nonlinear elliptic problems with critical exponent in shrinking annuli

DOI10.1007/BF01474177zbMath0619.35044MaRDI QIDQ1089505

Lambertus A. Peletier, Catherine Bandle

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164347

zbMATH Keywords

Green's functionphase plane analysisLaplace operatorcritical exponentnonlinear boundary value problemsdoubly connected domainspositive radially symmetric solutionshrinking annuli

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Integral representations of solutions to PDEs (35C15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Semilinear elliptic equations on singularly perturbed domains, Positive radial solutions for elliptic equations with sign-changing nonlinear terms in an annulus, Properties of the Emden-Fowler equation under stochastic disturbances that depend on parameters, Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains, Positive solutions for a class of multiparameter ordinary elliptic systems, Exact Morse index of radial solutions for semilinear elliptic equations with critical exponent on annuli, Solutions of semilinear elliptic problems in shrinking annuli, An elliptic problem with critical growth in domains with shrinking holes., Multiplicity of solutions for a class of non-homogeneous fourth-order boundary value problems, Local superlinearity for elliptic systems involving parameters, Existence of Positive Nonradial Solutions for Nonlinear Elliptic Equations in Annular Domains, Three positive radial solutions for elliptic equations in a ball

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