Continuous approximations of discontinuous nonlinearities of semilinear elliptic-type equations

• Datum: 1999
• Hauptverfasser: Iskakov, R. S., Pavlenko, V. N., Искаков, Р. С., Павленко, В. Н.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4601
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We obtain new variational principles of the existence of strong and semiregular solutions of principal boundary-value problems for elliptic-type second-order equations with discontinuous nonlinearity. We study a problem of proximity between the sets of solutions of an approximating problem with nonl...