scientific article

zbMath0524.47041MaRDI QIDQ3036150

Louis Nirenberg

Publication date: 1983

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

existencePalais-Smale conditionvariational methodstopological degreestationary pointhomotopymountain pass lemmaLeray-Schauder degree theoryFredholm mapsNash Moser implicit function techniqueperturbation about a solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Periodic solutions to PDEs (35B10) Existence of solutions for minimax problems (49J35) (Semi-) Fredholm operators; index theories (47A53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Bifurcations in context of PDEs (35B32) Hyperbolic equations on manifolds (58J45) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

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Shift formula and its applications to certain smooth nonlinear systems ⋮ On stability conditions for stationary solutions of boundary-value problems with free boundary

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