Some regularity results for quasilinear elliptic systems of second order

From MaRDI portal
Publication:1221864

DOI10.1007/BF01214849zbMath0317.35040MaRDI QIDQ1221864

Kjell-Ove Widman, Stefan Hildebrandt

Publication date: 1975

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172183



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (73)

The Dirichlet problem for harmonic maps from the disk into the Euclidean n-sphereAn \(L^ s\)-estimate for the gradient of solutions of some nonlinear unilateral problemsWiener's criterion and obstacle problems for vector valued functionsRegularity for stationary surfaces of constant mean curvature with free boundariesBOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMSPartial regularity for holonomic minimisers of quasiconvex functionalsUnnamed ItemThe rate of convergence of a harmonic map at a singular pointUnnamed ItemParabolic systems with quadratic nonlinearities in the gradient. Regularity of solutionsEstimates for Green's matrices of elliptic systems by \(L^ p\) theoryRegular and irregular solutions for a class of elliptic systems in the critical dimensionExistence proofs for harmonic mappings with the help of a maximum principleOn two-dimensional quasi-linear elliptic systemsAnalyticity of solutions of the O(N) nonlinear \(\sigma\)-modelLiouville theorems for nonlinear elliptic equations and systemsOn variational problems with obstacles and integral constraints for vector-valued functionsLocal Lipschitz regularity for degenerate elliptic systemsRemarks on the regularity of weak solutions to some variational inequalitiesHarmonic mappings and minimal submanifoldsLocal regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradientA Hölder continuity of minimizing symphonic mapsOn two-dimensional elliptic systems with a one-sided conditionOn the boundary behavior of minimal surfaces with a free boundary which are not minima of the areaThe Green function for uniformly elliptic equationsOn the regularity of the minima of variational integralsHow to blow infinitely large soap bubbles with a fixed boundaryPartial continuity for elliptic problemsLocal boundedness of solutions to quasilinear elliptic systemsConservation laws for conformally invariant variational problemsUnnamed ItemRegularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradientRegularity of minima: an invitation to the dark side of the calculus of variations.Singularities of minima: a walk on the wild side of the calculus of variationsNonlinear elliptic equations with lower order terms and \(L^{1,\lambda }\)-dataUnnamed ItemUnnamed ItemThe singular set of minima of integral functionalsEin optimaler Regularitätssatz für schwache Lösungen gewisser elliptischer SystemeEin Regularitätssatz für Systeme nichtlinearer elliptischer DifferentialgleichungenA-priori Schranken für Lösungen gewisser elliptischer SystemeÜber die Hölderstetigkeit schwacher Lösungen semilinearer elliptischer Systeme mit einseitiger BedingungRegularity of the \(m\)-symphonic mapBoundary regularity in variational problemsSmooth Solutions of systems of quasilinear parabolic equationsLocal regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradientAn existence theorem for harmonic mappings of Riemannian manifoldsA priori Schranken für die Ableitungen der Lösungen gewisser elliptischer DifferentialgleichungssystemeExponentially harmonic maps between surfacesOn the regularity of two-dimensional unsteady flows of heat-conducting generalized Newtonian fluidsNonlinear elliptic systems with quadratic growthOn weakly harmonic maps from Finsler to Riemannian manifoldsAlmost-everywhere regularity results for solutions of nonlinear elliptic systemsOn interior and boundary regularity of weak solutions to a certain quasilinear elliptic systemp-harmonic obstacle problems. II: Extensions of maps and applicationsDegenerate elliptic operators diagonal systems and variational integralsOn some degenerate and nondegenerate quasilinear elliptic systems with nonhomogeneous Dirichlet boundary conditionRegularity of the solution and well-posedness of a mixed problem for an elliptic system with quadratic nonlinearity in gradientsTwo examples of harmonic maps into spheresUnnamed ItemA new proof of a regularity theoremHarmonic mappings with partially free boundaryA Phragmen-Lindelöf principle for subsolutions of quasi-linear equationsPartial regularity for elliptic systems with critical growthUnnamed ItemA sharp Liouville principle for \(\Delta_m u+u^p|\nabla u|^q\le 0\) on geodesically complete noncompact Riemannian manifoldsThe Boundary Value Problem for the Stationary and Axisymmetric Einstein Equations is Generically SolvableOn the Hölder continuity of bounded weak solutions of quasilinear parabolic systemsQuasi-minimaCounter-examples to boundary estimates for two-dimensional elliptic systemsEine Bemerkung zur Hebbarkeit gewisser isolierter Singularitäten bei nichtlinearen elliptischen SystemenThe existence of regular boundary points for non-linear elliptic systemsLong-time existence for a solution of the equation of evolution of harmonic maps into an ellipsoid



Cites Work


This page was built for publication: Some regularity results for quasilinear elliptic systems of second order