Open AccessOn solvability of nonlinear problem for some elliptic by Petrovsky system
Author(s) -
Lyailya Zhapsarbayeva
Publication year - 2020
Publication title -
vestnik nacionalʹnoj inženernoj akademii respubliki kazahstan
Language(s) - English
Resource type - Journals
eISSN - 2709-4707
pISSN - 2709-4693
DOI - 10.47533/2020.1606-146x.33
Subject(s) - mathematics , nonlinear system , domain (mathematical analysis) , sobolev space , embedding , regular polygon , mathematical analysis , pure mathematics , computer science , physics , geometry , quantum mechanics , artificial intelligence
The article presents the results of study the existence of the solution of nonlinear problem for elliptic by Petrovsky system in unbounded domain. The nonlinear elliptic system is transformed into an equivalent fixed point problem for a suitable nonlinear operator in a convex subset of a Banach function space. Applying the fixed point and embedding theorems the solvability of nonlinear problem for elliptic by Petrovsky system in weighted Sobolev space are established.