Open AccessThe existence of strong solution for a nonlinear elliptic equation
Author(s) -
Junyan Li,
Jian Shen
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012021
Subject(s) - mathematics , nonlinear system , operator (biology) , mathematical analysis , elliptic operator , elliptic curve , semi elliptic operator , elliptic function , physics , differential operator , chemistry , biochemistry , repressor , quantum mechanics , transcription factor , gene
In this paper, the existence of strong solution for a fully nonlinear elliptic equation is proved by using the acute angle principle for the compulsorily weakly continuous operator. Firstly, the space of function and the abstract operator are chosen according to the elliptic equation. Furthermore, it is proved that the operator satisfies the acute angle condition and is compulsorily weakly continuous. Thus the existence of strong solution for the nonlinear elliptic equation is obtained.