Non-negative solutions to fractional Laplace equations with isolated singularity
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DOI: 10.1016/j.aim.2020.107329
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… read more here.
Keywords: solutions fractional; fractional laplace; negative solutions; laplace equations ... See more keywords
Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data
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DOI: 10.1063/5.0145741
Abstract: This article investigates a class of double phase problem with L1 data. Some new criteria to guarantee that the existence and uniqueness of non-negative renormalized solutions for the considered problem are established by using the… read more here.
Keywords: solutions double; renormalized non; phase dirichlet; non negative ... See more keywords