Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method
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Publication:1748282
DOI10.1515/ANONA-2016-0083zbMath1397.35115OpenAlexW2406666836MaRDI QIDQ1748282
Publication date: 9 May 2018
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2016-0083
Smoothness and regularity of solutions to PDEs (35B65) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items (15)
Maximal regularity for local minimizers of non-autonomous functionals ⋮ The weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth ⋮ Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth ⋮ \(C^1\)-regularity for minima of functionals with \(p(x)\)-growth ⋮ Calderón-Zygmund estimates in generalized Orlicz spaces ⋮ Local regularity for nonlocal equations with variable exponents ⋮ Parabolic Harnack estimates for anisotropic slow diffusion ⋮ Harnack inequality for solutions of the \(p(x)\)-Laplace equation under the precise non-logarithmic Zhikov's conditions ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions ⋮ Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth ⋮ Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth ⋮ Removable sets in elliptic equations with Musielak-Orlicz growth ⋮ Removable sets in non-uniformly elliptic problems
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