DOI10.1090/S0065-9266-2011-00614-3zbMath1238.35001OpenAlexW2166231663WikidataQ58880812 ScholiaQ58880812MaRDI QIDQ3112532
Klaus Steffen, Giuseppe Mingione, Frank Duzaar
Publication date: 10 January 2012
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0065-9266-2011-00614-3
Partial regularity for subquadratic parabolic systems under controllable growth conditions ⋮
Nonlinear potential theory of elliptic systems ⋮
A conditional regularity result for \(p\)-harmonic flows ⋮
An end point Orlicz type estimate for nonlinear elliptic equations ⋮
Morrey estimates for some classes of elliptic equations with a lower order term ⋮
Global gradient estimates for nonlinear obstacle problems with nonstandard growth ⋮
Existence of weak solutions of parabolic systems with \(p,q\)-growth ⋮
Gradient weighted estimates at the natural exponent for quasilinear parabolic equations ⋮
The boundary regularity of non-linear parabolic systems. II ⋮
The boundary regularity of non-linear parabolic systems I ⋮
Quasiconvexity and partial regularity via nonlinear potentials ⋮
Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮
Partial regularity for degenerate parabolic systems with nonstandard growth and discontinuous coefficients ⋮
Evolutionary, symmetric \(p\)-Laplacian. Interior regularity of time derivatives and its consequences ⋮
Regularity of weak solutions to a class of nonlinear problem ⋮
Weighted Orlicz estimates for general nonlinear parabolic equations over nonsmooth domains ⋮
Riesz potential type estimates for nonlinear elliptic equations ⋮
Parabolic Lipschitz truncation and caloric approximation ⋮
Regularity results for solutions to a class of obstacle problems ⋮
Morrey estimates for solutions of singular quadratic nonlinear equations ⋮
Parabolic equations with \(p,q\)-growth ⋮
Parabolic systems with \({p,q}\)-growth: a variational approach ⋮
Interior Calderón-Zygmund estimates for solutions to general parabolic equations of \(p\)-Laplacian type ⋮
Weighted Lorentz estimates for parabolic equations with non-standard growth on rough domains ⋮
Higher regularity for weak solutions to degenerate parabolic problems ⋮
Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation ⋮
\(\mathcal{A}\)-caloric approximation and partial regularity for parabolic systems with Orlicz growth ⋮
Existence and regularity results for a class of parabolic problems with double phase flux of variable growth ⋮
Weighed estimates for nonlinear elliptic problems with Orlicz data ⋮
Higher integrability for anisotropic parabolic systems of \(p\)-Laplace type ⋮
Regularity results for solutions of a class of parabolic systems with measure data ⋮
Global Calderón-Zygmund theory for parabolic \(p\)-Laplacian system: the case \(1 < p \leq \frac{ 2 n}{ n + 2} \) ⋮
Regularity in parabolic systems with continuous coefficients ⋮
On nonuniqueness and nonregularity for gradient flows of polyconvex functionals ⋮
Boundary regularity for parabolic systems in convex domains ⋮
Non-linear Calderón-Zygmund theory for parabolic systems with subquadratic growth ⋮
Local higher integrability for unsteady motion equations of generalized Newtonian fluids ⋮
Regularity of weak solutions to nondiagonal elliptic systems with composite boundary conditions ⋮
Short Tales from Nonlinear Calderón-Zygmund Theory ⋮
Partial regularity for parabolic systems with non-standard growth ⋮
Boundedness of the solutions of a kind of nonlinear parabolic systems ⋮
Strong solutions of evolution equations with \(p(x,t)\)-Laplacian: existence, global higher integrability of the gradients and second-order regularity ⋮
Construction of solutions to parabolic and hyperbolic initial–boundary value problems ⋮
Compactness methods for doubly nonlinear parabolic systems ⋮
The regularity for nonlinear parabolic systems of \(p\)-Laplacian type with critical growth ⋮
Partial regularity for subquadratic parabolic systems with continuous coefficients ⋮
Calderón-Zygmund estimates for parabolic measure data equations ⋮
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Partial regularity for minimizers of discontinuous quasi-convex integrals with degeneracy ⋮
Parabolic p-Laplacian revisited: Global regularity and fractional smoothness ⋮
Almost everywhere Hölder continuity of gradients to non-diagonal parabolic systems ⋮
Global Calderón-Zygmund theory for nonlinear parabolic systems ⋮
Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles ⋮
Local Calderón-Zygmund estimates for parabolic minimizers ⋮
Partial regularity and potentials ⋮
Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains ⋮
Gradient estimates for elliptic equations with measurable nonlinearities ⋮
Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains ⋮
Global gradient estimates for non-uniformly elliptic equations ⋮
Global Lorentz estimates for nonlinear parabolic equations on nonsmooth domains ⋮
Partial regularity for type two doubly nonlinear parabolic systems ⋮
Partial regularity and singular set of solutions to second order parabolic systems ⋮
Calderón-Zygmund estimates for parabolic \(p(x,t)\)-Laplacian systems ⋮
Gradient bounds for solutions to irregular parabolic equations with \((p, q)\)-growth ⋮
Existence of weak solutions of doubly nonlinear parabolic equations ⋮
Self-improving property of nonlinear higher order parabolic systems near the boundary ⋮
Regularity theory for nonlinear systems of SPDEs ⋮
Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds ⋮
Gradient estimates for multi-phase problems ⋮
On \(W^{1,q(\cdot)}\)-estimates for elliptic equations of \(p(x)\)-Laplacian type ⋮
Partial regularity for parabolic systems with VMO-coefficients ⋮
Parabolic systems with measurable coefficients in weighted Orlicz spaces ⋮
Partial regularity and singular sets of solutions of higher order parabolic systems ⋮
Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices ⋮
Regularity in Time of Hölder Solutions of Euler and Hypodissipative Navier--Stokes Equations ⋮
On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p,q)-growth ⋮
Harmonic type approximation lemmas ⋮
Higher differentiability of solutions of parabolic systems with discontinuous coefficients ⋮
Partial regularity for doubly nonlinear parabolic systems of the first type ⋮
Optimal regularity estimates for general nonlinear parabolic equations ⋮
Variable Lorentz estimate for conormal derivative problems of stationary Stokes system with partially BMO coefficients ⋮
Partial regularity for non-autonomous degenerate quasi-convex functionals with general growth ⋮
The regularity of general parabolic systems with degenerate diffusion ⋮
Gradient Hölder regularity for degenerate parabolic systems ⋮
Calderón-Zygmund estimates for generalized double phase problems ⋮
Space-Time Approximation of Stochastic $p$-Laplace-Type Systems ⋮
Second order parabolic systems, optimal regularity, and singular sets of solutions ⋮
Regularity theory of the gradient for general nonlinear parabolic systems ⋮
Hölder estimates for parabolic obstacle problems ⋮
Global higher integrability for symmetric \(p(x, t)\)-Laplacian system ⋮
Global regularity of shear thickening Stokes system with Dirichlet boundary condition on non-smooth domains
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- Gradient estimates via linear and nonlinear potentials
- Gradient potential estimates
- Degenerate parabolic equations
- Boundary regularity in variational problems
- Partial regularity and singular sets of solutions of higher order parabolic systems
- Integral inequalities of Poincaré and Wirtinger type
- Gradient estimates below the duality exponent
- The boundary regularity of non-linear parabolic systems. II
- The boundary regularity of non-linear parabolic systems I
- Gradient estimates for a class of parabolic systems
- On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions
- Intrinsic Harnack type inequalities for solutions of certain degenerate parabolic equations
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Fourth-order parabolic equations with weak BMO coefficients in Reifenberg domains
- Harmonic type approximation lemmas
- Very weak solutions of higher-order degenerate parabolic systems
- On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems
- Compact sets in the space \(L^ p(0,T;B)\)
- On \(C_{\alpha}\)-regularity of the gradient of solutions of degenerate parabolic systems
- Regularity for minima of functionals with p-growth
- A note on Riesz potentials
- Regularity for a class of nonlinear elliptic systems
- A new partial regularity proof for solutions of nonlinear elliptic systems
- Bounds for the singular set of solutions to non linear elliptic systems
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- The singular set of solutions to non-differentiable elliptic systems
- Partial regularity results for minimizers of quasiconvex functionals of higher order
- Parabolic equations with BMO coefficients in Lipschitz domains
- Higher integrability for minimizers of integral functionals with \((p,q)\) growth
- Very weak solutions of parabolic systems of \(p\)-Laplacian type
- Partial regularity results for evolutional \(p\) -Laplacian systems with natural growth
- Regularity for degenerate elliptic problems via \(p\)-harmonic approximation
- The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Singularities of minima: a walk on the wild side of the calculus of variations
- The singular set of minima of integral functionals
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
- Local Hölder regularity of gradients for evolutional \(p\)-Laplacian systems
- Second order parabolic systems, optimal regularity, and singular sets of solutions
- Degenerate problems with irregular obstacles
- Gradient estimates via non-linear potentials
- Elliptic Systems, Singular Sets and Dini Continuity
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
- Parabolic and Elliptic Equations with VMO Coefficients
- The existence of regular boundary points for non-linear elliptic systems
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Regularity of differential forms minimizing degenerate elliptic functionals.
- On the regularity of weak solutions to parabolic systems in two spatial dimensions
- Wp1,2solvability for the cauchy-dirichlet problem for parabolic equations with vmo coefficients
- On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- A Local estimate for nonlinear equations with discontinuous coefficients
- Non-Lipschitz minimizers of smooth uniformly convex functionals
- Gradient estimates for thep(x)-Laplacean system
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