Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)

From MaRDI portal
Publication:462305

DOI10.1007/s11118-014-9390-0zbMath1315.35048OpenAlexW2138083929MaRDI QIDQ462305

Antonia Passarelli Di Napoli

Publication date: 20 October 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9390-0




Related Items

Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditionsRegularity for minimizers of a class of non-autonomous functionals with sub-quadratic growthRegularity results for non-autonomous functionals with \(L\log {L}\)-growth and Orlicz Sobolev coefficientsRegularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spacesRegularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditionsRegularity results for vectorial minimizers of a class of degenerate convex integralsBesov regularity for solutions of \(p\)-harmonic equationsBesov estimates for weak solutions of a class of quasilinear parabolic equations with general growthHigher differentiability for solutions of stationary p‐Stokes systemsHigher fractional differentiability for solutions to a class of obstacle problems with non-standard growth conditionsHigher differentiability results for solutions to a class of non-homogeneous elliptic problems under sub-quadratic growth conditionsHigher differentiability and existence for a class of problems under \(p, q\) subquadratic growthRegularity results for bounded solutions to obstacle problems with non-standard growth conditionsFractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growthRegularity results for non-autonomous variational integrals with discontinuous coefficientsHigher differentiability for bounded solutions to a class of obstacle problems with \((p, q)\)-growthLipschitz regularity for degenerate elliptic integrals with \(p, q\)-growthA regularity result for a class of elliptic equations with lower order termsLipschitz regularity results for a class of obstacle problems with nearly linear growthRegularity results for a priori bounded minimizers of non-autonomous functionals with discontinuous coefficientsPartial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systemsAn higher integrability result for the second derivatives of the solutions to a class of elliptic PDE'sHigher differentiability for \(n\)-harmonic systems with Sobolev coefficientsBesov estimates for weak solutions of the parabolic \(p\)-Laplacian equationsA general low-order partial regularity theory for asymptotically convex functionals with asymptotic dependence on the minimizerHigher integrability for minimizers of asymptotically convex integrals with discontinuous coefficientsFractional differentiability for solutions of nonlinear elliptic equationsVery degenerate elliptic equations under almost critical Sobolev regularityPartial Lipschitz regularity of minimizers of asymptotically convex functionals with general growth conditionsHigher differentiability of solutions to a class of obstacle problems under non-standard growth conditionsA priori estimates for solutions to a class of obstacle problems under \(p, q\)-growth conditionsHigher differentiability for a class of obstacle problems with nearly linear growth conditionsHigher differentiability of minimizers of variational integrals with variable exponentsOn higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p,q)-growthHigher differentiability for solutions to a class of obstacle problemsPartial regularity of solutions to \(p(x)\)-Laplacian PDEs with discontinuous coefficientsRETRACTED: ``A \(C^{1,\alpha}\) partial regularity result for non-autonomous convex integrals with discontinuous coefficientsOn the regularity of solutions to a class of degenerate PDE's with lower order termsHigher differentiability of solutions of parabolic systems with discontinuous coefficientsRegularity results for a class of non-differentiable obstacle problemsHigher differentiability for solutions of nonhomogeneous elliptic obstacle problemsHigher differentiability of solutions for a class of obstacle problems with variable exponentsRegularity results for solutions to obstacle problems with Sobolev coefficientsRegularity results for a class of obstacle problems with p, q−growth conditionsHigher differentiability of solutions for a class of obstacle problems with non standard growth conditions



Cites Work


This page was built for publication: Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)