On the family of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory

Jann-Long Chern; Sze-Guang Yang; Zhi-You Chen; Chih-Her Chen

doi:10.3934/dcds.2020127

Article Contents

2020, Volume 40, Issue 6: 3291-3304. Doi: 10.3934/dcds.2020127 open access

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On the family of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory

a.
Department of Mathematics, National Central University, Chung-Li 32001, Taiwan
b.
Department of Mathematics, National Changhua University of Education, Changhua 500, Taiwan

^* Corresponding author; Work partially supported by Ministry of Science and Technology of Taiwan under grant no. MOST 107-2115-M-008-005-MY3
^* Corresponding author; Work partially supported by Ministry of Science and Technology of Taiwan under grant no. MOST 107-2115-M-008-005-MY3

¹ Work partially supported by Ministry of Science and Technology of Taiwan under grant no. MOST 105-2115-M-008-012-MY3.
² Work partially supported by Ministry of Science and Technology of Taiwan under grant no. MOST 106-2628-M-018-001-MY4.
Dedicated to Professor Wei-Ming Ni in honor of his 70th birthday

Received: March 31, 2019

Published: March 2020

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Abstract

In this paper, by constructing a family of approximation solutions and applying a specific version of the Implicit Function Theorem (please see, e.g. [18]), we prove the existence of non-topological solutions for the elliptic system arising from a product Abelian gauge field theory.

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Mathematics Subject Classification: Primary: 35J47, 35J60, 58C15.

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