Hölder continuity of minimizers of functionals with variable growth exponent

From MaRDI portal
Publication:1360921

DOI10.1007/BF02677472zbMath0878.49010OpenAlexW2066317213MaRDI QIDQ1360921

Alessandra Coscia, Valeria Chiado' Piat

Publication date: 8 January 1998

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156300



Related Items

Pointwise estimates of solutions to the double-phase elliptic equations, On interior regularity of minimizers of \(p(x)\)-energy functionals, Calderón-Zygmund type estimates for a class of obstacle problems with \(p(x)\) growth, Existence of renormalized solutions to a nonlinear parabolic equation in L1 setting with nonstandard growth condition and gradient term, Local Hölder continuity of weak solutions for an anisotropic elliptic equation, Unnamed Item, The local boundedness and Harnack inequality of \(p(x)\)-Laplace equation, Bourgain, Brezis and Mironescu theorem for fractional Sobolev spaces with variable exponents, Local regularity for nonlocal equations with variable exponents, A second-order Sobolev regularity for \(p(x)\)-Laplace equations, \( {\mathfrak{B}}_1\) classes of De Giorgi, Ladyzhenskaya, and Ural'tseva and their application to elliptic and parabolic equations with nonstandard growth, \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions, Harnack's inequality for quasiminimizers with nonstandard growth conditions, Hölder continuity of quasiminimizers with nonstandard growth, Regularity results up to the boundary for minimizers of \(p(x)\)-energy with \(p(x)>1\), Regularity of minima: an invitation to the dark side of the calculus of variations., On the singular set of minimizers of \(p(x)\)-energies, Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain, Harnack inequality and continuity of solutions to elliptic equations with nonstandard growth conditions and lower order terms, Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem, Overview of differential equations with non-standard growth, Weak Harnack estimates for quasiminimizers with non-standard growth and general structure, On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators, Regularity of quasi-minimizers of integral functionals with discontinuous \(p(x)\)-growth conditions, Integral representation and Γ-convergence of variational integrals withp(x)-growth, Everywhere regularity for vectorial functionals with general growth, Hölder continuity of weak solutions for parabolic equations with nonstandard growh conditions, Regularity for minimizers of double phase functionals with mild transition and regular coefficients, Limiting behavior of minimizers ofp(x)-Ginzburg-Landau type, Global boundedness and Hölder continuity of quasiminimizers with the general nonstandard growth conditions, The principle of concentration compactness in \(L^{p(x)}\) spaces and its application, On the continuity of solutions to elliptic equations with variable order of nonlinearity, Partial regularity of 𝑝(𝑥)-harmonic maps, Morrey regularity for almost minimizers of asymptotically convex functionals with nonstandard growth



Cites Work