Compact embeddings for weighted fractional Sobolev spaces and applications to nonlinear Schrödinger equations
Abstract
The aim of this work is to prove a compact embedding for weighted fractional Sobolev spaces. As an application, we use this embedding to prove, via variational methods, the existence of solutions to the following Schrödinger equation (−Δ)su+V(|x|)u=K(|x|)f(u),inRN, where the two measurable functions K>0 and V≥0 could vanish at infinity.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Mathematical Inequalities and Applications
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Complex Variables and Elliptic Equations
- Pages
- 1–29
- Publication date
- 9 February 2026
- Language
- EN