Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth
From MaRDI portal
Publication:898892
DOI10.1016/j.jmaa.2015.11.028zbMath1334.35099OpenAlexW2215701495MaRDI QIDQ898892
Publication date: 21 December 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.028
nonstandard growthirregular obstaclehigher integrabilitylocalizable solutionnonlinear parabolic problems
Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65)
Related Items (7)
Global higher integrability for minimisers of convex obstacle problems with (p,q)-growth ⋮ Regularity results for nonlinear parabolic obstacle problems with subquadratic growth ⋮ The stability of parabolic problems with nonstandard \(p(x,t)\)-growth ⋮ Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth ⋮ Compact embedding for \(p(x,t)\)-Sobolev spaces and existence theory to parabolic equations with \(p(x,t)\)-growth ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
- Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
- Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation
- A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
- Modeling, mathematical and numerical analysis of electrorheological fluids.
- Quasilinear elliptic-parabolic differential equations
- Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
- On some variational problems
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Calderón-Zygmund theory for nonlinear elliptic problems with irregular obstacles
- Regularity results for stationary electro-rheological fluids
- On the property of higher integrability for parabolic systems of variable order of nonlinearity
- Higher integrability for parabolic systems of \(p\)-Laplacian type
- Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains
- Calderón-Zygmund estimates for parabolic \(p(x,t)\)-Laplacian systems
- Hölder estimates for parabolic obstacle problems
- Lorentz estimates for obstacle parabolic problems
- Global gradient estimates for the parabolic \(p(x, t)\)-Laplacian equation
- Existence of local strong solutions for motions of electrorheological fluids in three dimensions
- Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
- Problèmes unilateraux
- The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
- Nonlinear gradient estimates for parabolic problems with irregular obstacles
- Degenerate problems with irregular obstacles
- Higher integrability in parabolic obstacle problems
- Hölder estimates for nonlinear degenerate parabolic sytems.
- Intrinsic scaling for PDEs with an exponential nonlinearity
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation
- Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth
- Variational inequalities
- Regularity results for a class of functionals with non-standard growth
This page was built for publication: Higher integrability for solutions to parabolic problems with irregular obstacles and nonstandard growth