Calderón-Zygmund estimates for \(\omega\)-minimizers of double phase variational problems

DOI10.1016/j.aml.2018.07.009zbMath1410.49003OpenAlexW2885001051MaRDI QIDQ1726468

Sun-Sig Byun, Seungjin Ryu, Pilsoo Shin

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.07.009

zbMATH Keywords

homogenizationCalderón-Zygmund estimate\(\omega\)-minimizerdouble phase variational problemstrongly anisotropic materials

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (15)

Capacities in generalized Orlicz spaces ⋮ Hardy and Sobolev inequalities for double phase functionals on the unit ball ⋮ Quasilinear double phase problems in the whole space via perturbation methods ⋮ Gradient estimates for multi-phase problems in Campanato spaces ⋮ Pairs of nontrivial smooth solutions for nonlinear Neumann problems ⋮ The existence of solutions for parabolic problem with the limiting case of double phase flux ⋮ Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data ⋮ Characterization of generalized Orlicz spaces ⋮ Gradient estimates for the double phase problems in the whole space ⋮ \( \mathcal{B}_1\) classes of De Giorgi-Ladyzhenskaya-Ural'tseva and their applications to elliptic and parabolic equations with generalized Orlicz growth conditions ⋮ Hölder continuity of $\omega$-minimizers of functionals with generalized Orlicz growth ⋮ Double phase image restoration ⋮ Calderón-Zygmund estimates for elliptic double phase problems with variable exponents ⋮ Regularity for double phase problems under additional integrability assumptions ⋮ Calderón-Zygmund estimates for general elliptic operators with double phase

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