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This analysis demonstrates multiple normalized solutions in elliptic equations, suggesting new avenues in mathematical solutions and theory.
The aim of this paper is to establish a multiplicity of normalized solutions for a class of nonlinear elliptic equations with mixed fractional Laplacians, which is driven by the superposition of Brownian and Lévy processes. This result complements some known results in the literature. In the process of our proof, we mainly apply the concentration compactness principle and the Lusternik–Schnirelmann theory to obtain the results mentioned in this paper.
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Jiang et al. (2025) studied this question.
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