Integral Functionals on Lp-Spaces: Infima Over Sublevel Sets

DOI10.1080/01630563.2014.908213zbMath1305.49009arXiv1312.5715OpenAlexW2286643543MaRDI QIDQ2877747

Biagio Ricceri

Publication date: 25 August 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.5715

zbMATH Keywords

integral functionalscoercivityreflexive Banach spaceglobal minimum\(L^p\)-spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions (49K99) Existence theories in calculus of variations and optimal control (49J99)

Cites Work

• Fixed points of nonexpansive potential operators in Hilbert spaces
• On a maximum principle for weak solutions of some quasi-linear elliptic equations
• A mountain pass theorem
• A general variational principle and some of its applications
• A strong maximum principle for some quasilinear elliptic equations
• Well-posedness of constrained minimization problems via saddle-points
• Another fixed point theorem for nonexpansive potential operators
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

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