Polyconvex functionals and maximum principle

Cites Work

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Weak lower semicontinuity for polyconvex integrals in the limit case
Local boundedness for minimizers of some polyconvex integrals
A condition for the Hölder regularity of local minimizers of a nonlinear elastic energy in two dimensions
Higher differentiability of minimizers of convex variational integrals
\(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
Maximum principles and a priori estimates for a class of problems from nonlinear elasticity
Regularity of minima: an invitation to the dark side of the calculus of variations.
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity
On the definition and the lower semicontinuity of certain quasiconvex integrals
Growth conditions and regularity. A counterexample
Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
Hölder continuity of minimizers of functionals with non standard growth conditions
Convexity conditions and existence theorems in nonlinear elasticity
Partial regularity of minimizers of polyconvex variational integrals
A regularity result for a class of polyconvex functionals
Local boundedness of minimizers of anisotropic functionals
A boundedness result for minimizers of some polyconvex integrals
Sharp regularity for functionals with (\(p\),\(q\)) growth
Scalar minimizers with fractal singular sets
Partial regularity for certain classes of polyconvex functionals related to nonlinear elasticity
An existence theory for nonlinear elasticity that allows for cavitation
On the regularity of minima of non-autonomous functionals
On the Hölder continuity for a class of vectorial problems
Regularity for double phase variational problems
Harnack inequalities for double phase functionals
Bounds for vector valued minimizers of some integral functionals
Regularity and existence of solutions of elliptic equations with p,q- growth conditions
Bounds for some minimizing sequences of functionals
Higher integrability of the gradient of minimizers of functional with nonstandard growth conditions
Partial Regularity in Problems Motivated by Nonlinear Elasticity
Maximum Principles And A priori Estimates For An Incompressible Material In Nonlinear Elasticity
Area and the area formula
Higher Gradient Integrability of Equilibria for Certain Rank-One Convex Integrals
Higher Gradient Integrability of Minimizers for a Polyconvex Case in Two Dimensions
Lipschitz Bounds and Nonuniform Ellipticity
Local boundedness of vectorial minimizers of non-convex functionals
Regularity of minimizers of autonomous convex variational integrals
Pointwise estimates for a model problem in nonlinear elasticity
Model problems from nonlinear elasticity: partial regularity results
Direct methods in the calculus of variations