We are interested in standing waves of a modified Schrodinger equation coupled with the Chern-Simons gauge theory. By applying a constraint minimization of Nehari-Pohozaev type, we prove the existence of radial ground state solutions. We also investigate the nonexistence for nontrivial solutions.
Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory / D'Avenia, Pietro; Pomponio, Alessio; Watanabe, Tatsuya. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - STAMPA. - 150:4(2020), pp. 1915-1936. [10.1017/prm.2019.9]
Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory
Pietro d'Avenia
;Alessio Pomponio;
2020-01-01
Abstract
We are interested in standing waves of a modified Schrodinger equation coupled with the Chern-Simons gauge theory. By applying a constraint minimization of Nehari-Pohozaev type, we prove the existence of radial ground state solutions. We also investigate the nonexistence for nontrivial solutions.File in questo prodotto:
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