Regularity theorems for degenerate quasiconvex energies with (p, q)-growth
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Publication:3546159
DOI10.1515/ACV.2008.010zbMath1151.49031OpenAlexW2072020421MaRDI QIDQ3546159
Publication date: 18 December 2008
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv.2008.010
partial regularityquasiconvexitynonstandard growthrelaxationdegenerationcalculus of variationspolyconvexity
Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50) Methods involving semicontinuity and convergence; relaxation (49J45)
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Existence of weak solutions of parabolic systems with \(p,q\)-growth ⋮ Quasiconvexity and partial regularity via nonlinear potentials ⋮ Partial regularity of minimizers of \(p(x)\)-growth functionals with \(p(x) > 1\) ⋮ Global higher integrability for minimisers of convex functionals with \((p,q)\)-growth ⋮ Boundary regularity for elliptic systems with \(p,q\)-growth ⋮ Parabolic equations with \(p,q\)-growth ⋮ Parabolic systems with \({p,q}\)-growth: a variational approach ⋮ Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth ⋮ Regularity results for differential forms solving degenerate elliptic systems ⋮ Quasiconvex variational functionals in Orlicz-Sobolev spaces ⋮ Singular multiple integrals and nonlinear potentials ⋮ Partial regularity for minimizers of discontinuous quasi-convex integrals with degeneracy ⋮ Partial regularity and potentials ⋮ Regularity results up to the boundary for minimizers of \(p(x)\)-energy with \(p(x)>1\) ⋮ A trace preserving operator and applications ⋮ Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth ⋮ The regularity of general parabolic systems with degenerate diffusion ⋮ Regularity for minimizers for functionals of double phase with variable exponents ⋮ Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence
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