Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness

DOI10.1016/S0294-1449(16)30207-4zbMath0828.35013OpenAlexW28959900MaRDI QIDQ1325252

Louis Jeanjean, Boris Buffoni

Publication date: 5 December 1995

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1993__10_4_377_0

zbMATH Keywords

bifurcation from any boundary point of the spectrum

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Bifurcations in context of PDEs (35B32)

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Unnamed Item ⋮ Variational methods in relativistic quantum mechanics ⋮ Existence of a Nontrivial Solution to a Strongly Indefinite Semilinear Equation ⋮ Existence of solutions with prescribed norm for semilinear elliptic equations ⋮ \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation ⋮ On some periodic Hartree-type models for crystals

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Critical point theorems for indefinite functionals
• Existence of solutions for semilinear elliptic equations with indefinite linear part
• Nodal characterization of bifurcating branches in \(L^ p(\mathbb{R}{})\) for a semilinear equation
• Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation
• The existence of infinitely many bifurcating branches
• Bifurcation from the essential spectrum of superlinear elliptic equations
• Bifurcation in L^p (R^N ) for a Semilinear Elliptic Equation
• Bifurcation from the essential spectrum for some non-compact non-linearities
• Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝ^N
• Necessary and sufficient conditions for gap-bifurcation
• Solvability of nonlinear equations in spectral gaps of the linearization
• Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems
• Bifurcation for Dirichlet Problems Without Eigenvalues
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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