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math.AP2026
Comparison principles and symmetry for subquadratic fractional -Laplacian equations
Dong Ye, Weimin Zhang
This paper establishes a new comparison principle framework for the subquadratic fractional -Laplacian, i.e.~ under minimal regularity assumptions, that has remained…
math.AP2026
Existence and nonexistence of normalized solutions for nonlinear Schrödinger equation involving combined nonlinearities in bounded domain
Zhen-Feng Jin, Weimin Zhang
In this paper, we consider the existence, multiplicity and nonexistence of solutions for the following equation \begin{equation*} \begin{cases} \begin{aligned} &-Δu+ωu=μu^{p-1}+u^{…