A general existence theorem for differential inclusions in the vector valued case

zbMath1107.49008MaRDI QIDQ815187

Giovanni Pisante, Bernard Dacorogna

Publication date: 22 February 2006

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53037

zbMATH Keywords

Dirichlet problemexistence theorempartial differential inclusion

Mathematics Subject Classification ID

Variational inequalities (49J40) PDEs with multivalued right-hand sides (35R70) Boundary value problems for nonlinear first-order PDEs (35F30)

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\(\mathcal{D}\)-solutions to the system of vectorial calculus of variations in \(L^\infty\) via the singular value problem ⋮ Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian ⋮ Differential inclusions and \(\mathcal A\)-quasiconvexity ⋮ On coercivity and regularity for linear elliptic systems ⋮ \(T_5\)-configurations and non-rigid sets of matrices ⋮ An explicit solution to a system of implicit differential equations ⋮ Existence of infinitely many solutions for the one-dimensional Perona-Malik model ⋮ Calculus of variations, implicit partial differential equations and microstructure ⋮ A differential inclusion: the case of an isotropic set ⋮ On coercivity and irregularity for some nonlinear degenerate elliptic systems ⋮ On existence of weak solutions for one-dimensional forward-backward diffusion equations

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