Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems
type: Item
instance of: scholarly article
title: Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems
zbMATH Open document ID: 1544.35003
author: Arina Alekseevna Arkhipova
published in: Journal of Mathematical Sciences (New York)
publication date: 2024-08-02T00:00:00Z
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J62
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K59
zbMATH DE Number: 7891525
zbMATH Keywords: nonlinear elliptic systems
zbMATH Keywords: nonlinear parabolic systems
zbMATH Keywords: regularity of weak solutions
MaRDI profile type: Publication
cites work: Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables
cites work: Q4509512
cites work: Quasireverse Hölder inequalities and a priori estimates for strongly nonlinear systems
cites work: Q5428563
cites work: Heat flow for a class of quadratic functionals with nondiagonal principal matrix. Existence of a smooth global solution
cites work: Weak global solvability of the two-phase problem for a class of parabolic systems with strong nonlinearity in the gradient. The case of two spatial variables
cites work: Global solvability of the Cauchy-Dirichlet problem for a class of strongly nonlinear parabolic systems
cites work: Local regularity of weak solutions to quasilinear elliptic systems with one-sided condition on quadratic nonlinearity in the gradient
cites work: Regularity conditions for nonlinear elliptic systems with quadratic nonlinearities in the gradient
cites work: Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions
cites work: Local regularity of weak solutions to a class of parabolic systems with quadratic nonlinearities in the gradient
cites work: Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix
cites work: Regularity problem for \(2m\)-order quasilinear parabolic systems with non smooth in time principal matrix. \((A(t),m)\)-caloric approximation method
cites work: Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix
cites work: Q3252874
cites work: Q5537959
cites work: Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
cites work: Second order parabolic systems, optimal regularity, and singular sets of solutions
cites work: Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
cites work: A note on the Hölder continuity of solutions of variational problems
cites work: On two-dimensional quasi-linear elliptic systems
cites work: The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
cites work: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
cites work: On the regularity of the minima of variational integrals
cites work: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs
cites work: Q4196779
cites work: On the partial regularity of weak solutions on nonlinear parabolic systems
cites work: Q5565409
cites work: Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
cites work: A new partial regularity proof for solutions of nonlinear elliptic systems
cites work: Some regularity results for quasilinear elliptic systems of second order
cites work: On quasilinear elliptic systems of diagonal form
cites work: Q5562267
cites work: Linear and quasilinear elliptic equations
cites work: Q4205805
cites work: A remark on the note: ``Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth''
cites work: Finite time blowup for parabolic systems in two dimensions
cites work: Q5563647
cites work: Continuity of Solutions of Parabolic and Elliptic Equations
cites work: Q4896042
cites work: Existence of regular solutions to a class of parabolic systems in two space dimensions with critical growth behaviour
cites work: Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities
cites work: Q4856928
cites work: Q4799201
cites work: Q3027520
cites work: Q3884530
cites work: A counterexample in elliptic regularity theory
cites work: Non-Lipschitz minimizers of smooth uniformly convex functionals
DOI: 10.1007/S10958-024-07248-0
description: scientific article; zbMATH DE number 7891525