The existence of infinitely many solutions all bifurcating from λ = 0

DOI10.1017/S0308210500029103zbMath0748.35029MaRDI QIDQ3971888

Wolfgang Rother

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence of infinitely many distinct pairs of weak solutions

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Bifurcations in context of PDEs (35B32)

Cites Work

• Bifurcation for a semilinear elliptic equation on \({\mathbb{R}}^ N\) with radially symmetric coefficients
• A variational approach to bifurcation in \(L^ p \)on an unbounded symmetrical domain
• Global bifurcation for Neumann problems without eigenvalues
• Bifurcation for variational problems when the linearisation has no eigenvalues
• Dual variational methods in critical point theory and applications
• The existence of infinitely many bifurcating branches
• Bifurcation from the essential spectrum of superlinear elliptic equations
• Bifurcation of Nonlinear Elliptic Equations on R ^N
• Bifurcation in L^p (R^N ) for a Semilinear Elliptic Equation
• Necessary and sufficient conditions for bifurcation from the continuous spectrum
• Bifurcation for Dirichlet Problems Without Eigenvalues

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