Zero Mass Case for a Nonlinear Elliptic Equation in Striplike Domains

Zero Mass Case for a Nonlinear Elliptic Equation in Striplike Domains

This paper focuses on the following scalar field equation where , and is a bounded domain in with . By using the variational method, we extend the results of Byeon and Tanaka in [ 6 ] and prove, in the zero mass case, the existence of a positive axially symmetric solution under suitable growth condi...

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Veröffentlicht in:Mathematical Notes 2021, Vol.109 (1-2), p.54-60
1. Verfasser: Esfahani, A.
Format: Artikel
Sprache:eng
Schlagworte:
14/34
639/766/189
639/766/530
639/766/747
Domains
Mathematics
Mathematics and Statistics
Scalars
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Beschreibung
Zusammenfassung:This paper focuses on the following scalar field equation where , and is a bounded domain in with . By using the variational method, we extend the results of Byeon and Tanaka in [ 6 ] and prove, in the zero mass case, the existence of a positive axially symmetric solution under suitable growth conditions on .
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434621010077