Measure of noncompactness, surjectivity of gradient operators and an application to the \(p\)-Laplacian

DOI10.1016/j.jmaa.2018.11.010OpenAlexW2899869763WikidataQ128981911 ScholiaQ128981911MaRDI QIDQ1633588

David E. Edmunds, Raffaele Chiappinelli

Publication date: 20 December 2018

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.2018.11.010

zbMATH Keywords

\(p\)-LaplacianEkeland's variational principlestrongly monotone operator\(\alpha\)-coercivity

Mathematics Subject Classification ID

Operator theory (47-XX) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

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• On the persistence of the eigenvalues of a perturbed Fredholm operator of index zero under nonsmooth perturbations
• Functional analysis, Sobolev spaces and partial differential equations
• Lectures on the Ekeland variational principle with applications and detours. Lectures delivered at the Indian Institute of Science, Bangalore, India under the T.I.F.R.-I.I.Sc. programme in applications of mathematics
• Contributions to the spectral theory for nonlinear operators in Banach spaces
• On the number and structure of solutions for a Fredholm alternative with the \(p\)-Laplacian.
• Surjectivity of coercive gradient operators in Hilbert space and nonlinear spectral theory
• A degree theory for a class of perturbed Fredholm maps
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Elliptic Differential Operators and Spectral Analysis
• Fredholm alternative for the \(p\)-Laplacian in higher dimensions

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