Elliptic interpolation estimates for non-standard growth operators

DOI10.5186/aasfm.2014.3915zbMath1296.35205OpenAlexW2032502055MaRDI QIDQ5403304

Jens Habermann, Paolo Baroni

Publication date: 25 March 2014

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2014.3915

zbMATH Keywords

non-standard growth conditionspointwise estimatesWolff and Riesz potentials

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15) Weak solutions to PDEs (35D30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Comparison principles in context of PDEs (35B51) PDEs with measure (35R06)

Related Items (14)

Regularity estimates for quasilinear elliptic equations with variable growth involving measure data ⋮ Riesz potential estimates for a class of double phase problems ⋮ Fractional differentiability for elliptic measure data problems with variable exponents ⋮ Wolff potentials and measure data vectorial problems with Orlicz growth ⋮ Gradient continuity for \(p(x)\)-Laplacian systems under minimal conditions on the exponent ⋮ On the solvability of variable exponent differential inclusion systems with multivalued convection term ⋮ Fractional differentiability results for nonlinear measure data problems with coefficients in \(C_\gamma^\alpha\) ⋮ Harnack inequality for a class of functionals with non-standard growth via De Giorgi's method ⋮ Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data ⋮ Pointwise gradient bounds for a class of very singular quasilinear elliptic equations ⋮ Global gradient estimates for a borderline case of double phase problems with measure data ⋮ Boundary Riesz potential estimates for elliptic equations with measurable nonlinearities ⋮ Potential estimates for elliptic systems with subquadratic growth ⋮ Fractional differentiability for a class of double phase problems with measure data

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