Weighted $W^{1, 2}_{p(\cdot)}$-estimate for fully nonlinear parabolic equations with a relaxed convexity

DOI10.1007/S00009-024-02659-4zbMATH Open1541.35114MaRDI QIDQ6552255

Publication date: 8 June 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

fully nonlinear parabolic equations Muckenhoupt weights discontinuous nonlinearities variable exponent Lebesgue spaces generalized Fefferman-Stein theorem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs with low regular coefficients and/or low regular data (35R05) Harmonic analysis and PDEs (42B37) Quasilinear parabolic equations (35K59)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Lorentz estimates for fully nonlinear parabolic and elliptic equations
On the existence of smooth solutions for fully nonlinear elliptic equations with measurable ``coefficients without convexity assumptions
Interior a priori estimates for solutions of fully nonlinear equations
Weights, extrapolation and the theory of Rubio de Francia.
On Bellman's equations with VMO coefficients
Lebesgue and Sobolev spaces with variable exponents
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing. I: Analysis
$W^{2,p(\cdot )}$-regularity for elliptic equations in nondivergence form with BMO coefficients
$W^{2,p}$- and $W^{1,p}$-estimates at the boundary for solutions of fully nonlinear, uniformly elliptic equations
Electrorheological fluids: modeling and mathematical theory
The $W^{1,2}_{( p,q )}$-solvability for a class of fully nonlinear parabolic equations
Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data
Weighted $L^{p(\cdot)}$-regularity for fully nonlinear parabolic equations
$W^{1,p(\cdot)}$-regularity for elliptic equations with measurable coefficients in nonsmooth domains
Calderón-Zygmund estimates for parabolic $p(x,t)$-Laplacian systems
Fully nonlinear elliptic and parabolic equations in weighted and mixed-norm Sobolev spaces
$H^p$ spaces of several variables
Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations
Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
On the Existence of Solutions for Fully Nonlinear Elliptic Equations Under Relaxed Convexity Assumptions
On the Existence of Smooth Solutions for Fully Nonlinear Parabolic Equations with Measurable “Coefficients” without Convexity Assumptions
On fully nonlinear elliptic and parabolic equations with VMO coefficients in domains
The Stokes and Poisson problem in variable exponent spaces
Factorization Theory and A P Weights
Parabolic and Elliptic Equations with VMO Coefficients
Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
L^p- Theory for fully nonlinear uniformly parabolic equations
On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights
On the existence of $W^{1,2}_{p}$ solutions for fully nonlinear parabolic equations under either relaxed or no convexity assumptions
A Proof of the Fefferman-Stein-Stromberg Inequality for the Sharp Maximal Functions
Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
On the existence of Wp2 solutions for fully nonlinear elliptic equations under either relaxed or no convexity assumptions
On the regularity theory of fully nonlinear parabolic equations

This page was built for publication: Weighted $W^{1, 2}_{p(\cdot)}$-estimate for fully nonlinear parabolic equations with a relaxed convexity

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6552255)

Weighted \(W^{1, 2}_{p(\cdot)}\)-estimate for fully nonlinear parabolic equations with a relaxed convexity