Cas d'existence de solutions d'EDP

2017/07/10 by Bahoura, Samy Skander
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1707.02888

Abstract

We give some examples of the existence of solutions of geometric PDEs (Yamabe equation, Prescribed Scalar Curvature Equation, Gaussian curvature). We also give some remarks on second order PDE and Green functions and on the maximum principles. And on Harnack type inequalities and Sobolev and interpolation inequality and Moser-Trudinger inequality. And some remarks on the equations.

Related

• Harnack Inequalities for Yamabe Type Equations
• Infinitely many solutions for a boundary Yamabe problem
• The Dirichlet Problem for Curvature Equations in Riemannian Manifolds
• Local bifurcation diagrams and degenerate solutions of Yamabe-type equations
• A class of curvature type equations