UAB Digital Repository of Documents 3 records found  Search took 0.01 seconds. 
1.
22 p, 269.1 KB The Brezis-Nirenberg type problem involving the square root of the Laplacian / Tan, Jinggang ; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
We establish existence and non-existence results to the Brezis-Nirenberg type problem involving the square root of the Laplacian in a bounded domain with zero Dirichlet boundary condition.
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 892)  
2.
40 p, 401.1 KB Positive solutions of nonlinear problems involving the square root of the Laplacian / Cabré, Xavier ; Tan, Jinggang ; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, we establish existence and regularity results, as well as a priori estimates of Gidas-Spruck type. [...]
Centre de Recerca Matemàtica 2009 (Prepublicacions del Centre de Recerca Matemàtica ; 858)  
3.
40 p, 330.9 KB The existence of periodic solutions of a two dimensional Lattice / Tan, Jinggang ; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
We consider a two dimensional lattice coupled with nearest neighbor interaction potential of power type. The existence of infinite many periodic solutions is shown by using minimax methods.
Centre de Recerca Matemàtica 2007 (Prepublicacions del Centre de Recerca Matemàtica ; 755)  

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1 Tan, Jianguang
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