Nonlinear Degenerate Elliptic Partial Differential Equations with Critical Growth Conditions on the Gradient

DOI10.2307/2161908zbMath0842.35036OpenAlexW4256313694MaRDI QIDQ4874277

Kwon Cho, Hi Jun Choe

Publication date: 29 July 1996

Full work available at URL: https://doi.org/10.2307/2161908

zbMATH Keywords

unbounded solutiontruncation techniquesymmetrization technique\(L^ \infty\)-estimate

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Theoretical approximation in context of PDEs (35A35)

Related Items (10)

Some remarks on elliptic problems with critical growth in the gradient ⋮ Nonlinear elliptic systems with coupled gradient terms ⋮ Good-\(\lambda \) and Muckenhoupt-Wheeden type bounds in quasilinear measure datum problems, with applications ⋮ A singular nonlinear elliptic equation with natural growth in the gradient ⋮ Morrey global bounds and quasilinear Riccati type equations below the natural exponent ⋮ Existence and multiplicity of weak solutions for a singular semilinear elliptic equation ⋮ Some qualitative properties of solutions of quasilinear elliptic equations and applications ⋮ On the existence of positive solutions to semilinear elliptic systems involving gradient term ⋮ On the problem of maximal \(L^q\)-regularity for viscous Hamilton-Jacobi equations ⋮ Existence and nonexistence of solutions for quasilinear elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rearrangements and convexity of level sets in PDE
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• $L^\infty $ Estimate for Some Nonlinear Elliptic Partial Differential Equations and Application to an Existence Result
• On a class of quasilinear elliptic equations with quadratic growth in the gradient

This page was built for publication: Nonlinear Degenerate Elliptic Partial Differential Equations with Critical Growth Conditions on the Gradient