Symmetrization in a class of first-order Hamilton- Jacobi equations

DOI10.1016/0362-546X(84)90031-2zbMath0543.35014OpenAlexW2092991488MaRDI QIDQ3331592

Ester Giarrusso, Diana Nunziante

Publication date: 1984

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(84)90031-2

zbMATH Keywords

Dirichlet problemsymmetrizationHamilton-Jacobi equationsrearrangementcomparison theoremsIsoperimetric inequalities

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items

Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces, Convex symmetrization and applications, Estimates for generalized subsolutions of first order Hamilton-Jacobi equations and rearrangements, Uniqueness results for optimzation problems with prescribed rearrangement, Comparison theorems for a class of first order Hamilton-Jacobi equations, On Hardy inequalities with a remainder term, On the symmetric rearrangement of the gradient of a Sobolev function, Estimates for solutions of elliptic equations in a limit case, Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms, On the Lq norm of functions having equidistributed gradients, Moser type inequalities for higher-order derivatives in Lorentz spaces, On optimization problems with prescribed rearrangements, On Trudinger-Moser type inequalities involving Sobolev-Lorentz spaces, Equivalent and attained version of Hardy's inequality in \(\mathbb{R}^n\), Elliptic equations, rearrangements, and functions of bounded lower oscillation, A remark on comparison results for first order Hamilton-Jacobi equations, An inequality concerning rearrangements of functions and Hamilton-Jacobi equations

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