This article is cited in 1 paper

Elliptic equations of infinite order with arbitrary nonlinearities and corresponding function spaces

Tran Duc Van


Abstract: This paper studies the Dirichlet problem for elliptic equations of infinite order with arbitrary nonlinearities specified in a bounded domain of Euclidean space. An effective method of testing the nontriviality of the corresponding “energy” function spaces is presented.
Bibliography: 15 titles.

UDC: 517.9

MSC: Primary 35A05, 35J60; Secondary 46E30, 46E35

Received: 18.03.1980

 English version: Mathematics of the USSR-Sbornik, 1982, 41:2, 203–216

Bibliographic databases:

• 
•