Advanced Nonlinear Studies (May 2019)

Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

Hirata Jun,
Tanaka Kazunaga

Affiliations

Hirata Jun: Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo169-8555, Japan
Tanaka Kazunaga: Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo169-8555, Japan

DOI: https://doi.org/10.1515/ans-2018-2039
Journal volume & issue: Vol. 19, no. 2
pp. 263 – 290

Abstract

We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):

Published in Advanced Nonlinear Studies

ISSN: 1536-1365 (Print); 2169-0375 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/ans/html

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