Half-space Gaussian symmetrization: applications to semilinear elliptic problems

DOI10.1515/anona-2020-0169zbMath1472.35175OpenAlexW3163236600MaRDI QIDQ2043771

Filomena Feo, Maria Rosaria Posteraro, Jesús Ildefonso Díaz

Publication date: 3 August 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0169

zbMATH Keywords

semilinear equationsGauss measureGaussian symmetrization

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45) Semilinear elliptic equations (35J61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Logarithmic Sobolev trace inequalities
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Comparison results for linear parabolic equations in unbounded domains via Gaussian symmetrization.
• Semilinear equations in \({\mathbb{R}}^ N\) without condition at infinity
• Elliptic and parabolic semilinear problems without conditions at infinity
• The Fokker-Planck equation. Methods of solution and applications.
• The Brunn-Minkowski inequality in Gauss space
• A comparison result related to Gauss measure
• The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity
• Comparison of solutions of nonlinear evolution problems with different nonlinear terms
• Some properties of higher order Sobolev spaces
• Uniqueness results for strongly monotone operators related to Gauss measure
• Zur Umkehrbarkeit der statistischen Naturgesetze
• Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
• Existence of solutions of anisotropic elliptic equations with nonpolynomial nonlinearities in unbounded domains
• Logarithmic Sobolev Inequalities
• A symmetrization result for elliptic equations with lower-order terms
• Regularity results for degenerate elliptic equations related to Gauss measure
• Positive Temperatures on an Infinite Rod

This page was built for publication: Half-space Gaussian symmetrization: applications to semilinear elliptic problems