Minimum action solutions for a quasilinear equation

Minimum action solutions for a quasilinear equation

In this paper, we study a quasilinear equation in RN 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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Veröffentlicht in:Journal of the London Mathematical Society 2015-12, Vol.92 (3), p.583-595
1. Verfasser: Azzollini, A.
Format: Artikel
Sprache:eng
Schlagworte:
Formulas (mathematics)
Ground state
Mathematical analysis
Operators (mathematics)
Proving
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Beschreibung
Zusammenfassung:In this paper, we study a quasilinear equation in RN 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.
ISSN:0024-6107
1469-7750
DOI:10.1112/jlms/jdv050