Some Existence Conditions for the Compact Extrema of Variational Functionals of Several Variables in Sobolev Space W 2 1

DOI10.1007/978-3-7643-9919-1_8zbMath1188.49021OpenAlexW6341274MaRDI QIDQ3652948

E. V. Bozhonok

Publication date: 18 December 2009

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

Full work available at URL: https://doi.org/10.1007/978-3-7643-9919-1_8

zbMATH Keywords

Sobolev spaceintegral functionalJacobi conditioncompact extremumLegendre condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for free problems in two or more independent variables (49K10) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (3)

Piecewise polynomial algorithms for the analysis of processes in inhomogeneous media ⋮ Compact subdifferentials in Banach spaces and their applications to variational functionals ⋮ Piecewise-polynomial approximations for the solutions of impulsive differential equations

This page was built for publication: Some Existence Conditions for the Compact Extrema of Variational Functionals of Several Variables in Sobolev Space W 2 1