A new form for the differential of the constraint functional in strictly convex reflexive Banach spaces

DOI10.1016/j.jmaa.2017.06.080zbMath1432.35072OpenAlexW2732664152MaRDI QIDQ2014130

Yansheng Zhong, Yongqing Li

Publication date: 10 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.080

zbMATH Keywords

Palais-Smale conditionBanach spaceconstraint functional

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (2)

On a p-Laplacian eigenvalue problem with supercritical exponent ⋮ A third solution to the eigenvalue problem with supercritical exponent

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
• \(H^1 \cap L^p\) versus \(C^1\) local minimizers
• Ljusternik-Schnirelman theory and non-linear eigenvalue problems
• LJUSTERNIK-SCHNIRELMAN Theory on General Level Sets
• Attractors for reaction-diffusion equations: existence and estimate of their dimension
• The Ljusternik-Schnirelman theory for indefinite and not necessarily odd nonlinear operators and its applications
• An Introduction to Banach Space Theory
• On a nonlinear elliptic eigenvalue problem
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