\(T\)-minima: an approach to minimization problems in \(L^1\)

zbMath1009.49002MaRDI QIDQ1864689

Boccardo, Lucio

Publication date: 18 March 2003

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problementropy solutionsEuler-Lagrange equationexistence of minima\(T\)-minima

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items

Compactness of minimizing sequences, A weak minima approach to the study of the existence of saddle points of integral functionals, T-minima and application to the convergence of some integral functionals with infinite energy minima, Marcinkiewicz estimates for solutions of some elliptic problems with nonregular data, Unnamed Item, Regularizing effect for a system of Schrödinger-Maxwell equations, A contribution to the theory of quasilinear elliptic equations and application to the minimization of integral functionals, Unnamed Item, T-minima for nonlinear parabolic problems: a variational approach for \(L^1\) data, Schrödinger-Maxwell systems with interplay between coefficients and data, A Calderón-Zygmund theory for infinite energy minima of some integral functionals, Unnamed Item, Some cases of weak continuity in nonlinear Dirichlet problems, Regularizing effect of the interplay between coefficients in some elliptic equations