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DOI: 10.23952/jnfa.2022.36
Received August 18, 2021; Accepted August 22, 2022; Published September 21, 2022
Abstract In this paper, we consider a rearrangement minimization problem related to a quasilinear equation with two independent data functions. First, we demonstrate that the equation has a unique ground state solution for each pair of the given data functions. Next, we prove that the corresponding rearrangement minimization problem is solvable. Finally, we prove the uniqueness and symmetry of the solution of the minimization problem if the domain is a ball centered at the origin.
How to Cite this Article:
C. Qiu, Q. Feng, Z. Liu, S. Ji, An optimization problem related to a quasilinear equation, J. Nonlinear Funct. Anal. 2022 (2022) 36.