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Abstract In this paper, we study singular solutions of linear problems with fractional Laplacian. First, we establish Bocher type theorems on a punctured ball via distributional approach. Then, we develop… Click to show full abstract
Abstract In this paper, we study singular solutions of linear problems with fractional Laplacian. First, we establish Bocher type theorems on a punctured ball via distributional approach. Then, we develop a few interesting maximum principles on a punctured ball. Our distributional approach only requires the basic L loc 1 -integrability. Furthermore, several basic lemmas are introduced to unify the treatments of Laplacian and fractional Laplacian.
Keywords:
solutions fractional;
fractional laplace;
negative solutions;
laplace equations;
equations isolated;
non negative
Journal Title: Advances in Mathematics
Year Published: 2020
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Journal Title: Advances in Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!