A class of nonlinear degenerate elliptic equations related to the Gauss measure

DOI10.1016/j.jmaa.2011.08.037zbMath1229.35095OpenAlexW2027516886MaRDI QIDQ643580

Filomena Feo, Giuseppina di Blasio

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.037

zbMATH Keywords

a priori estimatessymmetrizationexistence resultsGauss measure

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items

Degenerate coercive quasilinear elliptic equations with subcritical or critical exponents in \(\mathbb{R}^N\) ⋮ A priori estimates for solutions to anisotropic elliptic problems via symmetrization

Cites Work

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• Existence results for a class of degenerate elliptic equations.
• An integral formula for total gradient variation
• Renormalized solutions of degenerate elliptic problems
• Comparison results for linear parabolic equations in unbounded domains via Gaussian symmetrization.
• A comparison result for elliptic equations in the infinite dimensional Gauss space
• A comparison result related to Gauss measure
• Laplace and the origin of the Ornstein-Uhlenbeck process
• Theory of extended solutions for fast-diffusion equations in optimal classes of data. Radiation from singularities
• Parabolic equations with nonlinear, degenerate and space-time dependent operators
• Existence results for nonlinear elliptic equations related to Gauss measure in a limit case
• Estimates for the gradient of solutions of nonlinear elliptic equations with \(L^1\) data
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
• Existence results for semilinear elliptic equations with some lack of coercivity
• On generalized Lorentz-Zygmund spaces
• INFINITE VALUED SOLUTIONS OF NON-UNIFORMLY ELLIPTIC PROBLEMS
• Weighted Sobolev Spaces and Degenerate Elliptic Equations
• Regularity results for degenerate elliptic equations related to Gauss measure
• Equivalent Norms for Sobolev Spaces
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement