Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. I
Abstract
This paper is concerned with the existence and uniqueness of variational solutions of the strongly nonlinear equation −m∑1i∂∂xi(m∑1jai,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
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.
Issue
Section
Research articles