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Minimum action solutions for a quasilinear equation
Author(s) -
Azzollini A.
Publication year - 2015
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdv050
Subject(s) - action (physics) , mathematics , operator (biology) , space (punctuation) , differential equation , mathematical analysis , physics , computer science , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene , operating system
In this paper, we study a quasilinear equation in R N by a variational approach. The particular nature of the differential operator requires a preliminary study on the functional space. Our main result is the proof of the existence of a ground state.
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