Quasiconvex functionals of $(p, q)$-growth and the partial regularity of relaxed minimizers (Q6615232)

scientific article; zbMATH DE number 7922991

Language	Label	Description	Also known as
English	Quasiconvex functionals of $(p, q)$-growth and the partial regularity of relaxed minimizers	scientific article; zbMATH DE number 7922991

Statements

instance of

scholarly article

0 references

title

Quasiconvex functionals of $(p, q)$-growth and the partial regularity of relaxed minimizers (English)

0 references

0 references

0 references

Archive for Rational Mechanics and Analysis

0 references

publication date

8 October 2024

0 references

zbMATH Keywords

partial regularity

0 references

relaxed minimizers

0 references

quasiconvex functionals

0 references

MaRDI profile type

Publication

0 references

cites work

New lower semicontinuity results for polyconvex integrals

0 references

Semicontinuity problems in the calculus of variations

0 references

A regularity theorem for minimizers of quasiconvex integrals

0 references

Partial regularity under anisotropic $(p,q)$ growth conditions

0 references

Q5318420

0 references

A Lusin type theorem for gradients

0 references

On the first variation of a varifold

0 references

Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure

0 references

On the relaxation in $BV(\Omega ;\mathbb{R}^ m)$ of quasi-convex integrals

0 references

Q4954179

0 references

Convex functionals and partial regularity

0 references

Convexity conditions and existence theorems in nonlinear elasticity

0 references

Discontinuous equilibrium solutions and cavitation in nonlinear elasticity

0 references

$W^{1,p}$-quasiconvexity and variational problems for multiple integrals

0 references

Regularity of quasiconvex envelopes

0 references

On the Dirichlet problem for variational integrals in BV

0 references

Interior gradient regularity for $\mathrm{BV}$ minimizers of singular variational problems

0 references

Globally Lipschitz minimizers for variational problems with linear growth

0 references

On a Neumann problem for variational functionals of linear growth

0 references

On the regularity of minimizers for scalar integral functionals with $(p,q)$-growth

0 references

Lipschitz bounds for integral functionals with $(p,q)$-growth conditions

0 references

Partial regularity for variational integrals with $(s,\mu,q)$-growth

0 references

Q4544324

0 references

Convex variational problems. Linear, nearly linear and anisotropic growth conditions

0 references

$C^{1,\alpha}$-solutions to non-autonomous anisotropic variational problems

0 references

Boundary regularity for elliptic systems with $p,q$-growth

0 references

The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent

0 references

New regularity theorems for non-autonomous variational integrals with $(p,q)$-growth

0 references

On the trace operator for functions of bounded $\mathbb{A} $-variation

0 references

Quasiconvex variational functionals in Orlicz-Sobolev spaces

0 references

Q4301004

0 references

Interpretation of the Lavrentiev phenomenon by relaxation

0 references

Partial regularity of minimizers of quasiconvex integrals with subquadratic growth

0 references

Partial regularity of local minimizers of quasiconvex integrals with sub-quadratic growth

0 references

A trace preserving operator and applications

0 references

Further remarks on the lower semicontinuity of polyconvex integrals

0 references

On coercive variational integrals

0 references

$\mathscr{A}$-quasiconvexity and partial regularity

0 references

Quasiconvexity and relaxation of nonconvex problems in the calculus of variations

0 references

Weak continuity and weak lower semi-continuity of non-linear functionals

0 references

Direct methods in the calculus of variations

0 references

Higher-order quasiconvexity reduces to quasiconvexity

0 references

Quasiconvexity and partial regularity via nonlinear potentials

0 references

Singular multiple integrals and nonlinear potentials

0 references

Q3252874

0 references

Q5537959

0 references

Partial Regularity for Minimizers of Quasi-convex Functionals with General Growth

0 references

Optimal interior partial regularity for nonlinear elliptic systems: The method of $A$-harmonic approximation

0 references

Partial regularity for almost minimizers of quasi-convex integrals

0 references

Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

0 references

The $p$-harmonic approximation and the regularity of $p$-harmonic maps

0 references

Regularity for degenerate elliptic problems via $p$-harmonic approximation

0 references

Harmonic type approximation lemmas

0 references

Higher integrability for minimizers of integral functionals with $(p,q)$ growth

0 references

Sharp regularity for functionals with ($p$,$q$) growth

0 references

Relaxation results for higher order integrals below the natural growth exponent

0 references

Quasiconvexity and partial regularity in the calculus of variations

0 references

Q3134551

0 references

Remarks relevant to minimal surfaces and to surfaces of prescribed mean curvature

0 references

Q4225550

0 references

Relaxation of multiple integrals below the growth exponent

0 references

Q3379029

0 references

Relaxation of multiple integral in subcritical Sobolev spaces

0 references

Quasi-Convex Integrands and Lower Semicontinuity in $L^1 $

0 references

Relaxation of quasiconvex functionals in $BV(\Omega, \mathbb{R}^ N)$ for integrands $f(x, u, \bigtriangledown u)$

0 references

$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures

0 references

Variational methods for problems from plasticity theory and for generalized Newtonian fluids

0 references

$C^{1,\alpha}$ partial regularity of functions minimising quasiconvex integrals

0 references

Partial Regularity in Problems Motivated by Nonlinear Elasticity

0 references

Q4324828

0 references

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

0 references

Partial regularity of minimizers of quasiconvex integrals

0 references

Q4196945

0 references

Q3151387

0 references

Q5536910

0 references

The regularity of minima for the Dirichlet problem on BD

0 references

Partial regularity for symmetric quasiconvex functionals on BD

0 references

Partial regularity for BV minimizers

0 references

Sobolev regularity for convex functionals on BD

0 references

Boundary ellipticity and limiting $\mathrm{L}^1$-estimates on halfspaces

0 references

Sublinear functions of measures and variational integrals

0 references

Q5687498

0 references

Differentiability properties of solutions of systems of differential equations

0 references

Partial regularity results for asymptotic quasiconvex functionals with general growth

0 references

Characterizations of Young measures generated by gradients

0 references

On rank one convex functions that are homogeneous of degree one

0 references

Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth

0 references

Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand

0 references

Lower semicontinuity of quasi-convex integrals in BV

0 references

Lower semicontinuity in spaces of weakly differentiable functions

0 references

Relaxation of signed integral functionals in BV

0 references

Partial regularity of strong local minimizers in the multi-dimensional calculus of variations

0 references

Partial regularity and potentials

0 references

Partial regularity for $\omega$-minimizers of quasiconvex functionals

0 references

Weak lower semicontinuity of polyconvex integrals

0 references

Lower semicontinuity of quasiconvex integrals

0 references

Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals

0 references

On the definition and the lower semicontinuity of certain quasiconvex integrals

0 references

Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions

0 references

Regularity and existence of solutions of elliptic equations with p,q- growth conditions

0 references

Sobolev Spaces

0 references

Quasi-Convexity and Lower Semi-Continuity of Multiple Variational Integrals of Any Order

0 references

Regularity of minima: an invitation to the dark side of the calculus of variations.

0 references

Singularities of minima: a walk on the wild side of the calculus of variations

0 references

Quasi-convexity and the lower semicontinuity of multiple integrals

0 references

A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations

0 references

Continuity of Solutions of Parabolic and Elliptic Equations

0 references

Q4150079

0 references

Q3884503

0 references

A non-inequality for differential operators in the $L_ 1$ norm

0 references

Q4351722

0 references

Weak convergence of completely additive vector functions on a set

0 references

Q5654703

0 references

Partial regularity of strong local minimizers of quasiconvex integrals with (<i>p, q</i>)-growth

0 references

Regularity of minimizers of $W^{1,p}$-quasiconvex variational integrals with $(p,q)$-growth

0 references

Regularity theorems for degenerate quasiconvex energies with (p, q)-growth

0 references

Regularity of relaxed minimizers of quasiconvex variational integrals with $(p, q)$-growth

0 references

Partial regularity for degenerate variational problems and image restoration models in BV

0 references

On growth conditions for quasiconvex integrands

0 references

Relaxation in BV of integrals with superlinear growth

0 references

Overdetermined systems of linear partial differential equations

0 references

Q3336199

0 references

Analytic extensions of differentiable functions defined in closed sets.

0 references

Hölder continuity of solutions of elliptic systems

0 references

Identifiers

zbMATH Open document ID

1548.49045

0 references

DOI

10.1007/s00205-024-02013-8

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6615232

Quasiconvex functionals of \((p, q)\)-growth and the partial regularity of relaxed minimizers (Q6615232)

Statements

Identifiers

Sitelinks

Mathematics(1 entry)