Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. I

• Datum: 1996
• Hauptverfasser: Bonafede, S., Бонафеде, С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5259
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

This paper is concerned with the existence and uniqueness of variational solutions of the strongly nonlinear equation $$ - \sum\limits_1^m {_i \frac{\partial }{{\partial x_i }}\left( {\sum\limits_1^m {_j a_{i,j} (x, u(x))\frac{{\partial u(x)}}{{\partial x_j }}} } \right) + g(x, u(x)) = f(x)} $$...