On solvability of a quasi-elliptic partial differential equations

摘要

In this paper we study the existence and smoothness of solution of one class of partial differential equation of higher order in the bounded domain G?Rndocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${G subset {R^{n}}}$$end{document} satisfying the flexile λdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$lambda $$end{document}- horn condition are studied.