Index theory for linear elliptic equation and multiple solutions for asymptotically linear elliptic equation with resonance

DOI10.12775/TMNA.2014.037zbMath1362.58006OpenAlexW2337172832MaRDI QIDQ519388

Yuan Shan, Keqiang Li

Publication date: 4 April 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2014.037

zbMATH Keywords

critical point theorymultiple solutionselliptic equationindex theoryasymptotically linear conditions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Elliptic equations on manifolds, general theory (58J05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)