A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain

DOI10.1007/BF01457083zbMath0513.35068MaRDI QIDQ1050548

Charles A. Stuart

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163731

zbMATH Keywords

bifurcationvariational approachSteiner symmetrySchwarz symmetryunbounded symmetrical domain

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Bifurcations in context of PDEs (35B32)

Related Items (13)

Multiple positive solutions for semilinear elliptic equations in ℝ involving critical exponents ⋮ The existence of infinitely many solutions all bifurcating from λ = 0 ⋮ The generalized strauss compactness lemma and its applications on nonlinear elliptic problems ⋮ On the asymptotic properties of solutions to a differential equation in a case of bifurcation without eigenvalues ⋮ Existence of positive solutions for some nonlinear elliptic equations on unbounded domains with cylindrical ends. ⋮ Bifurcation for a semilinear elliptic equation on \({\mathbb{R}}^ N\) with radially symmetric coefficients ⋮ On a Schrödinger system arizing in nonlinear optics ⋮ Nodal characterization of bifurcating branches in \(L^ p(\mathbb{R}{})\) for a semilinear equation ⋮ Unnamed Item ⋮ Large heteroclinic orbits for some evolution equations ⋮ Semilinear elliptic equations on unbounded domains ⋮ Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems ⋮ Rearrangement inequalities and duality theory for a semilinear elliptic variational problem

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