An application of global gradient estimates in Lorentz-Morrey spaces: The existence of stationary solution to degenerate diffusive Hamilton-Jacobi equations

zbMath1425.35091arXiv1910.04486MaRDI QIDQ4972917

Thanh-Nhan Nguyen, Minh-Phuong Tran

Publication date: 29 November 2019

Full work available at URL: https://arxiv.org/abs/1910.04486

zbMATH Keywords

stationary solutionLorentz-Morrey spacequasilinear Riccati type equationdegenerate diffusive Hamilton-Jacobi equationuniformly thickness

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Function spaces arising in harmonic analysis (42B35) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67)

Cites Work

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• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Gradient estimates below the duality exponent
• Quasilinear Riccati type equations with distributional data in Morrey space framework
• Relative rearrangement. An estimation tool for boundary problems
• A mostly elementary proof of Morrey space estimates for elliptic and parabolic equations with \(VMO\) coefficients.
• Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers
• Vectorial nonlinear potential theory
• Global integral gradient bounds for quasilinear equations below or near the natural exponent
• Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications
• Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
• Morrey global bounds and quasilinear Riccati type equations below the natural exponent
• Equazioni ellittiche non variazionali a coefficient continu
• Quasilinear Riccati Type Equations and Quasiminimizers
• Elliptic equations with BMO coefficients in Reifenberg domains
• Elliptic second order equations
• Quasiminimizing properties of solutions to Riccati type equations
• Remarks on some quasilinear equations with gradient terms and measure data
• Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data

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