6533b834fe1ef96bd129d756

RESEARCH PRODUCT

Discontinuous solutions of linear, degenerate elliptic equations

Xiao Zhong

subject

Mathematics(all)Applied MathematicsGeneral MathematicsWeak solutionMathematical analysisDegenerate energy levelsStructure (category theory)Degenerate equationDegenerate elliptic equationsWeak solutionsElliptic curveDivergence (statistics)Linear equationContinuityMathematics

description

Abstract We give examples of discontinuous solutions of linear, degenerate elliptic equations with divergence structure. These solve positively conjectures of De Giorgi.

https://doi.org/10.1016/j.matpur.2008.02.007