Existence and multiplicity results for Dirichlet problem with fractional Laplacian and nonlinearity

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作者
Dorota Bors
Robert Stańczy
机构
[1] University of Lodz,Faculty of Mathematics and Computer Science
[2] Uniwersytet Wrocławski,Instytut Matematyczny
关键词
fractional laplacian; fixed point; integral equation; differential equation; cone compression and expansion; 35Q; 35J66; 35R11;
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摘要
The existence and multiplicity results for Dirichlet BVPs with the fractional Laplacian are established depending on the range of parameter and behavior of the nonlinearity at zero and at infinity.
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