Eigenvalue problems and bifurcation of semilinear elliptic equation in N

DOI10.1016/0362-546X(94)E0071-NzbMath0829.35092OpenAlexW1972266251MaRDI QIDQ4842093

Dao-Min Cao

Publication date: 15 January 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)e0071-n

zbMATH Keywords

concentration-compactnessuniqueness of positive solutions\(L^ \infty\) norm bifurcation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

Related Items

Multiple positive solutions of nonhomogeneous elliptic equations in unbounded domains ⋮ Eigenvalue problems and bifurcation of nonhomogeneous semilinear elliptic equations in exterior strip domains ⋮ Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Positive solutions of some nonlinear elliptic problems in exterior domains
• Existence of positive solutions of semilinear elliptic equations in \(\mathbb{R}^ N\)
• Solutions of Hartree-Fock equations for Coulomb systems
• Nonconvex minimization problems
• Bifurcation for Quasilinear Elliptic Systems on Rⁿ with Natural Growth Conditions
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