Morse theory on Branach space and its applications to partial differential equations
From MaRDI portal
Publication:790497
zbMath0534.58020MaRDI QIDQ790497
Publication date: 1983
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)
Related Items (28)
Critical groups computations on a class of Sobolev Banach spaces via Morse index ⋮ Amann-Zehnder type results for \(p\)-Laplace problems ⋮ Three critical points theorem and its application to quasilinear elliptic equations ⋮ Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations ⋮ Some qualitative results of the critical groups for the \(p\)-Laplacian equations ⋮ Weighted Sobolev spaces and Morse estimates for quasilinear elliptic equations ⋮ Bifurcation of constant mean curvature tori in Euclidean spheres ⋮ Multiplicity of solutions for a class of the quasilinear elliptic equations at resonance ⋮ On local Morse theory for \(p\)-area functionals, \(p > 2\) ⋮ Unnamed Item ⋮ Critical point theory for asymptotically quadratic functionals and applications to problems with resonance ⋮ Marino-Prodi perturbation type results and Morse indices of minimax critical points for a class of functionals in Banach spaces ⋮ Nontrivial periodic solutions to delay difference equations via Morse theory ⋮ Morse theory and existence of periodic solutions of convex hamiltonian systems ⋮ Multiplicity results for a class of quasilinear elliptic problems ⋮ Computations of critical groups at a degenerate critical point for strongly indefinite functionals ⋮ Multiplicity results for semilinear elliptic equations with resonance at higher eigenvalues ⋮ Nontrivial solution for asymmetric \((p,2)\)-Laplacian Dirichlet problem ⋮ On the critical polynomial of functionals related to \(p\)-area (for \(1 < p < \infty\)) and \(p\)-Laplace \((1 < p\leq2)\) type operators ⋮ Remarks on multiple nontrivial solutions for quasi-linear resonant problems ⋮ Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues ⋮ Towards a Morse theory on Banach spaces via ultrafunctions ⋮ Morse theory methods for a class of quasi-linear elliptic systems of higher order ⋮ On the multiplicity of positive solutions for \(p\)-Laplace equations via Morse theory ⋮ Semilinear elliptic resonant problems at higher eigenvalue with unbounded nonlinear terms ⋮ The computations of the critical groups with an application to elliptic resonant problems at a higher eigenvalue ⋮ Critical groups at zero and multiple solutions for a quasilinear elliptic equation ⋮ Multiple positive solutions for a p-Laplace Benci–Cerami type problem (1 < p < 2), via Morse theory
This page was built for publication: Morse theory on Branach space and its applications to partial differential equations
