A Min-max Principle with a Relaxed Boundary Condition

DOI10.2307/2159181zbMath0791.49028OpenAlexW4244825400MaRDI QIDQ4038382

Nassif Ghoussoub

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2159181

zbMATH Keywords

critical pointssmooth Banach manifoldMin-Max procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Optimality conditions for problems in abstract spaces (49K27)

Related Items (8)

A generalized mountain pass lemma with a closed subset for locally Lipschitz functionals ⋮ Unnamed Item ⋮ Two positive solutions of a quasilinear elliptic Dirichlet problem ⋮ On the Ekeland-Ghoussoub-Preiss and Stuart criteria for locating Cerami sequences ⋮ Unnamed Item ⋮ Some remarks on nonsmooth critical point theory ⋮ Critical points of non-smooth functions with a weak compactness condition ⋮ Unnamed Item

Cites Work

• A general mountain pass principle for locating and classifying critical points
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Location, multiplicity and Morse indices of min-max critical points.
• Remarks on finding critical points
• Unnamed Item
• Unnamed Item

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