Bifurcation from the essential spectrum of superlinear elliptic equations

DOI10.1080/00036818808839748zbMath0621.35009OpenAlexW1987392307WikidataQ58302169 ScholiaQ58302169MaRDI QIDQ3756633

Xi-Ping Zhu, Huan-Song Zhou

Publication date: 1988

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818808839748

zbMATH Keywords

bifurcationLyapunov-Schmidt reductionconcentration-compactness principleSobolev compact embedding

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Bifurcations in context of PDEs (35B32)

Related Items (9)

The existence of infinitely many solutions all bifurcating from λ = 0 ⋮ Bifurcation for quasilinear elliptic equations on Rⁿ with natural growth conditions ⋮ Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities ⋮ Normalized solutions to the fractional Schrödinger equations with combined nonlinearities ⋮ Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations ⋮ Bifurcation for a semilinear elliptic equation on \({\mathbb{R}}^ N\) with radially symmetric coefficients ⋮ Normalized solutions to Schrödinger systems with linear and nonlinear couplings ⋮ Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation ⋮ Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness

Cites Work

• Nodal properties and bifurcation from the essential spectrum for a class of nonlinear Sturm-Liouville problems
• Existence of solitary waves in higher dimensions
• Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains
• Does bifurcation from the essential spectrum occur?
• Bifurcation for Dirichlet Problems Without Eigenvalues

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