A comparison result for elliptic equations in the infinite dimensional Gauss space

DOI10.1016/j.na.2010.06.013zbMath1197.35299OpenAlexW1983801686MaRDI QIDQ988880

Filomena Feo

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.013

zbMATH Keywords

logarithmic Sobolev inequalityisoperimetric inequalityrearrangementelliptic equationWiener spaceGauss measure

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) PDEs with measure (35R06)

Related Items

A class of nonlinear degenerate elliptic equations related to the Gauss measure ⋮ On the case of equalities in comparison results for parabolic equations related to Gauss measure

Cites Work

• Parabolic equations related to Boltzmann measure
• Existence results for a class of degenerate elliptic equations.
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• On the isoperimetric deficit in Gauss space
• Symétrisation dans l'espace de Gauss.
• Logarithmic Sobolev Inequalities
• On a class of quasilinear elliptic equations with quadratic growth in the gradient
• Regularity results for degenerate elliptic equations related to Gauss measure
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement
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