Normalized solutions of a (2, p)-Laplacian equation

In this paper, we are concerned with normalized solutions of a (2,p)-Laplacian equation with an Lp constraint in R3, where 2 < p < 3. Different from literature previous, we focus on the Lp not L2 constraint for p > 2. Moreover, an interesting finding is that the non-homogeneity driven by the operators Delta and Delta p has an important impact on Lp constraint (2, p)-Laplacian equations, as reflected in the definition of the Lp critical exponent, and the existence of normalized solutions in both Lp subcritical and supercritical cases. All these new phenomena, which are different from those exhibited by a single p-Laplacian equation, reveal the essential characteristics of (2,p)-Laplacian equations. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data