Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\)
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Publication:462305
DOI10.1007/s11118-014-9390-0zbMath1315.35048OpenAlexW2138083929MaRDI QIDQ462305
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
Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Higher differentiability of minimizers of convex variational integrals
- A new partial regularity result for non-autonomous convex integrals with non-standard growth conditions
- Partial continuity for elliptic problems
- Regularity in oscillatory nonlinear elliptic systems
- Partial regularity for non autonomous functionals with non standard growth conditions
- Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
- Regularity for minimizers of functionals with \(p-q\) growth
- Partial regularity under anisotropic \((p,q)\) growth conditions
- Regularity of \(\omega\)-minimizers of quasi-convex variational integrals with polynomial growth
- Continuity of solutions of a class of linear non uniformly elliptic equations
- Sharp regularity for functionals with (\(p\),\(q\)) growth
- Regularity and existence of solutions of elliptic equations with p,q- growth conditions
- Partial Regularity for Almost Minimizers of Quasi-Convex Integrals
- Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Nonlinear Elliptic Equations with Right Hand Side Measures
- Weak minima of variational integrals.
- Higher differentiability of minimizers of variational integrals with Sobolev coefficients
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