Existence of sign-changing solutions to a Hamiltonian elliptic system in RN

Sahoo, Alok K. and Manna, Bhakti Bhusan (2023) Existence of sign-changing solutions to a Hamiltonian elliptic system in RN. Journal of Mathematical Analysis and Applications, 517 (2). p. 126655. ISSN 0022-247X

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Abstract

In this paper, we consider the Hamiltonian elliptic system −ΔU+U=|V|p−1V,−ΔV+V=|U|q−1Uin RN, where N≥4 and the non-linearities p,q are superlinear and lies below the critical hyperbola. We shall prove the existence of nonradial sign-changing solutions. We shall work with the space of ϕ-equivariant functions where ϕ:Γ→{1,−1} and Γ⊂O(N), a closed subgroup of O(N). Depending on the size of the fixed point set Fix(Γ), we shall establish our result in two different ways. © 2022 Elsevier Inc.

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IITH Creators:	IITH Creators ORCiD Manna, Bhakti Bhusan https://orcid.org/0000-0002-8098-2782
Item Type:	Article
Additional Information:	The author, A. K. Sahoo is supported by the Ministry of Education, Govt. of India.
Uncontrolled Keywords:	Elliptic system; Group action; Sign changing solution; Subcritical nonlinearity
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	. LibTrainee 2021
Date Deposited:	15 Sep 2022 11:50
Last Modified:	15 Sep 2022 11:50
URI:	http://raiithold.iith.ac.in/id/eprint/10590
Publisher URL:	http://doi.org/10.1016/j.jmaa.2022.126655
OA policy:	https://v2.sherpa.ac.uk/id/publication/11377
Related URLs:	Author Google Scholar

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