Existence theorems for discontinuous solutions in optimization problems
From MaRDI portal
Publication:4378810
DOI10.1016/S0362-546X(97)00149-1zbMath0890.49005OpenAlexW1998058990MaRDI QIDQ4378810
Publication date: 10 May 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00149-1
integral functionalslower semicontinuityoptimization problemsfunctions of bounded variationrelaxed functionalsquasi convex integrands
Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A duality theorem for plastic plates
- Existence theorems for multiple integrals of the calculus of variations for discontinuous solutions
- Minimization approach to limit solutions of plates
- A variational principle and an algorithm for limit analysis of beams and plates
- On the relaxation in \(BV(\Omega ;\mathbb{R}^ m)\) of quasi-convex integrals
- Seminormality conditions in the calculus of variations for \(BV\) solutions
- Closure theorems for orientor fields and weak convergence
- Lower semicontinuity of quasiconvex integrals
- Existence theorems concerning simple integrals of the calculus of variations for discontinuous solutions
- Existence theorems for abstract multidimensional control problems
- Existence of BV absolute discontinuous minima for modified multiple integrals of the calculus of variations
- On the Definition and Properties of Certain Variational Integrals
- Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $
- Serrin integrals and second order problems of plasticity
- Direct methods in the calculus of variations
This page was built for publication: Existence theorems for discontinuous solutions in optimization problems