Regularity results for differential forms solving degenerate elliptic systems
From MaRDI portal
Publication:1942227
DOI10.1007/s00526-012-0503-6zbMath1266.35052OpenAlexW2145046302MaRDI QIDQ1942227
Publication date: 18 March 2013
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-012-0503-6
Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Higher-order elliptic systems (35J48)
Related Items (13)
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth ⋮ Qualitative analysis of very weak solutions to Dirac-harmonic equations ⋮ p-harmonic 1-forms on totally real submanifolds in complex space forms ⋮ Partial regularity results for quasimonotone elliptic systems with general growth ⋮ The Lavrentiev phenomenon in calculus of variations with differential forms ⋮ Variational integral and some inequalities of a class of quasilinear elliptic system ⋮ Singular multiple integrals and nonlinear potentials ⋮ Partial regularity for minimizers of discontinuous quasi-convex integrals with degeneracy ⋮ Liouville theorems for nonlinear elliptic equations on Riemannian manifolds ⋮ Nonlinear Stein theorem for differential forms ⋮ Characterization of the non-homogenous Dirac-harmonic equation ⋮ Analysis of weighted p-harmonic forms and applications ⋮ \(\mathscr{A}\)-quasiconvexity and partial regularity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \(\varphi\)-harmonic approximation and the regularity of \(\varphi\)-harmonic maps
- Everywhere-regularity for some quasilinear systems with a lack of ellipticity
- Nonlinear elliptic systems with general growth
- Everywhere regularity of functionals with \(\varphi \)-growth
- Partial regularity for minimisers of certain functionals having nonquadratic growth
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Harmonic type approximation lemmas
- Remarks on the regularity of the minimizers of certain degenerate functionals
- Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung
- Regularity for a class of nonlinear elliptic systems
- Almost-everywhere regularity results for solutions of nonlinear elliptic systems
- Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
- Integral estimates for null Lagrangians
- Bounds for the singular set of solutions to non linear elliptic systems
- The singular set of solutions to non-differentiable elliptic systems
- Partial regularity of minimizers of quasiconvex integrals with subquadratic growth
- Nonlinear Hodge theory on manifolds with boundary
- Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
- Quasiregular mappings in even dimensions
- Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
- The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
- Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations
- Regularity of minimizers of \(W^{1,p}\)-quasiconvex variational integrals with \((p,q)\)-growth
- The singular set of minima of integral functionals
- Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
- Second order parabolic systems, optimal regularity, and singular sets of solutions
- Fractional estimates for non-differentiable elliptic systems with general growth
- Regularity theorems for degenerate quasiconvex energies with (p, q)-growth
- Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
- Regularity of differential forms minimizing degenerate elliptic functionals.
- On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- Nonlinear elliptic boundary value problems
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
- Gradient estimates for thep(x)-Laplacean system
This page was built for publication: Regularity results for differential forms solving degenerate elliptic systems
