Zero Mass Case for a Nonlinear Elliptic Equation in Striplike Domains

Esfahani A.
January 2021 Pleiades Publishing

Mathematical Notes
2021 #109 Issue 1-2 54 - 60 pp.

Abstract: This paper focuses on the following scalar field equation (Formula presented.) and D is a bounded domain in (Formula presented.). 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 f.

nonlinear elliptic equations , striplike domains , zero mass case

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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan

Department of Mathematics

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