Smoothness and asymptotics of global positive branches of \(\Delta{} u+ \lambda{} f(u)=0\)

DOI10.1007/BF00944743zbMath0766.35002OpenAlexW1781856917MaRDI QIDQ1185476

Hansjoerg Kielhoefer

Publication date: 28 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944743

zbMATH Keywords

symmetrypositive solutionsnonlinear elliptic eigenvalue problemasymptotic behavior of branches

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items

Some Results for the Gelfand's Problem ⋮ Uniqueness of global positive solution branches of nonlinear elliptic problems ⋮ Global bifurcations of solutions of elliptic differential equations ⋮ The structure of Rabinowitz' global bifurcating continua for generic quasilinear elliptic equations ⋮ Smoothness of global positive branches of nonlinear elliptic problems over symmetric domains

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