Representation formulae and inequalities for solutions of a class of second order partial differential equations

DOI10.1090/S0002-9947-05-03717-7zbMath1081.35014OpenAlexW1511517328MaRDI QIDQ5705536

Pohozaev, Stanislav I., Enzo Mitidieri, Lorenzo D'Ambrosio

Publication date: 9 November 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03717-7

zbMATH Keywords

fundamental solutiondegenerate elliptic operators

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Hypoelliptic equations (35H10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

Representation formulae of solutions of second order elliptic inequalities ⋮ Unnamed Item ⋮ Hardy-Littlewood-Sobolev systems and related Liouville theorems ⋮ Liouville theorems for some nonlinear inequalities ⋮ Critical growth problems with singular nonlinearities on Carnot groups ⋮ Riesz-type representation formulas for subharmonic functions in sub-Riemannian settings ⋮ Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds ⋮ Polyharmonic inequalities with nonlocal terms ⋮ Representation formulae for nonhomogeneous differential operators and applications to PDEs ⋮ Liouville type theorem for quasi-linear elliptic inequality \(\Delta_p u + u^\sigma \leqslant 0\) on Riemannian manifolds

Cites Work

• Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
• Subelliptic estimates and function spaces on nilpotent Lie groups
• Uniform Gaussian estimates of the fundamental solutions for heat operators on Carnot groups.
• Nonlinear Liouville theorems for Grushin and Tricomi operators.
• On the Grushin operator and hyperbolic symmetry
• Sobolev met Poincaré
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representation formulae and inequalities for solutions of a class of second order partial differential equations