Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. I

Authors

  • S. Bonafede

Abstract

This paper is concerned with the existence and uniqueness of variational solutions of the strongly nonlinear equation m1ixi(m1jai,j(x,u(x))u(x)xj)+g(x,u(x))=f(x) with the coefficients a i,j (x, s) satisfying an eHipticity degenerate condition and hypotheses weaker than the continuity with respect to the variable s. Furthermore, we establish a condition on f under which the solution is bounded in a bounded open subset Ω of Rm.

Published

25.07.1996

Issue

Section

Research articles

How to Cite

Bonafede, S. “Strongly Nonlinear Degenerate Elliptic Equations With Discontinuous Coefficients. I”. Ukrains’kyi Matematychnyi Zhurnal, vol. 48, no. 7, July 1996, pp. 867-75, https://umj.imath.kiev.ua/index.php/umj/article/view/5259.