Integral functionals that are continuous with respect to the weak topology on \(W_0^{1,p}(\varOmega)\)

DOI10.1016/j.na.2009.01.117zbMath1166.49014OpenAlexW4250392098MaRDI QIDQ923934

Robert Černý, Stanislav Hencl, Jan Kolář

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.117

zbMATH Keywords

Sobolev spacesweak continuitylinearitynonlinear integral functional

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items

Fixed point theorems for ws-compact mappings in Banach spaces

Cites Work

• Weak continuity and weak lower semi-continuity of non-linear functionals
• Integral functionals that are continuous with respect to the weak topology on \(W_{0}^{1,p}(0,1)\)
• Three topological problems about integral functionals on Sobolev spaces
• On the Definition and Properties of Certain Variational Integrals
• Weakly Differentiable Functions

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