Normalized Ground State Solution to a Mixed Schrödinger System in a Plane
Dixit A. Esfahani A. Hajaiej H. Mukherjee T.
2026Global Science Press
Communications in Mathematical Analysis and Applications
2026#5Issue 11 - 34 pp.
In this paper, we establish the existence of positive ground state solutions for a class of mixed Schrödinger systems with concave-convex nonlinearities in ℝ2, that is (Formula Presented) subject to the L2-norm constraints (Formula Presented), where (Formula Presented), the prescribed masses a,b>0, and the parameters λ1,λ2 appear as Lagrange multipliers. Moreover, the exponents (Formula Presented). To obtain our main existence results, we employ variational techniques such as the mountain pass theorem, the Pohozaev manifold, Steiner rearrangement, and others, consolidating the works [ Jeanjean et al., Nonlinear Differ. Equ. Appl. 31 (2024)].
mixed Schrödinger system , mountain pass theorem , normalized solution , Pohozaev identity
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Department of Mathematics, Indian Institute of Technology, Rajasthan, Jodhpur, 342030, India
Department of Mathematics, Nazarbayev University, Astana, 010000, Kazakhstan
Department of Mathematics, California State University, Los Angeles, 90032, CA, United States
Department of Mathematics
Department of Mathematics
Department of Mathematics
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