Strongly nonlinear degenerate elliptic equations with discontinuous coefficients. II

• Date: 1997
• Main Authors: Bonafede, S., Бонафеде, С.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5164
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We use energy methods to prove the existence and uniqueness of solutions of the Dirichlet problem for an elliptic nonlinear second-order equation of divergence form with a superlinear tem [i.e., g(x, u)=v(x) a(x)⋎u⋎ p−1u,p>1] in unbounded domains. Degeneracy in the ellipticity condition is al...