Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung

DOI10.1007/BF01305990zbMath0429.35033OpenAlexW2034838914MaRDI QIDQ1137723

Per-Anders Ivert

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154673

zbMATH Keywords

partial regularityweak solutionsquasilinear equationsa priori estimateelliptic systemsdiagonal systemsgrowth condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (28)

Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients ⋮ Nonlinear potential theory of elliptic systems ⋮ Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case ⋮ Quasimonotonicity, regularity and duality for nonlinear systems of partial differential equations ⋮ A new partial regularity proof for solutions of nonlinear elliptic systems ⋮ Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung ⋮ \(\mathcal{C}^{0, \alpha}\) partial regularity result for elliptic systems with discontinuous coefficients and Orlicz growth ⋮ Nonuniformly elliptic Schauder theory ⋮ Optimal partial regularity of second order nonlinear elliptic systems with Dini continuous coefficients for the superquadratic case ⋮ Boundary regularity for elliptic systems under a natural growth condition ⋮ Regularity results for differential forms solving degenerate elliptic systems ⋮ Partial regularity results for quasimonotone elliptic systems with general growth ⋮ Liouville theorems for nondiagonal elliptic systems in arbitrary dimensions ⋮ A regularity theorem for quasilinear parabolic systems under random perturbations ⋮ Optimal partial regularity for nonlinear sub-elliptic systems ⋮ The Green function for uniformly elliptic equations ⋮ On the regularity of the minima of variational integrals ⋮ Interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients for the case: \(1 < m < 2\) ⋮ Global boundedness of the gradient for a class of nonlinear elliptic systems ⋮ Boundedness and differentiability for nonlinear elliptic systems ⋮ Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ C1 + α local regularity of weak solutions of degenerate elliptic equations ⋮ Singularities of minima: a walk on the wild side of the calculus of variations ⋮ The singular set of minima of integral functionals ⋮ Almost-everywhere regularity results for solutions of nonlinear elliptic systems ⋮ New a priori estimates for \(q\)-nonlinear elliptic systems with strong nonlinearities in the gradient, \(1< q< 2\) ⋮ Everywhere-regularity for some quasilinear systems with a lack of ellipticity

Cites Work

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• Regularitätsuntersuchungen von Lösungen elliptischer Systeme von quasilinearen Differentialgleichungen zweiter Ordnung
• A-priori Schranken für Lösungen gewisser elliptischer Systeme
• Regularity for a class of nonlinear elliptic systems
• Nonlinear elliptic systems with quadratic growth
• Almost-everywhere regularity results for solutions of nonlinear elliptic systems
• Equazioni ellittiche del II\(^ \circ\) ordine e spazi \({\mathcal L}^{(2,\lambda)}\)
• Teorema del massimo modulo e teorema di esistenza per il problema di Dirichlet relativo ai sistemi fortemente ellittici
• Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure
• Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
• Asymptotic Behavior of Solutions of Parabolic Equations with Discontinuous Coefficients.

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