勷勤数学•专家报告-Luca Vilasi

勷勤数学•专家报告


题      目:Nonlocal problems with mixed boundary conditions via nabla theorems


报  告  人:Luca Vilasi   教授  (邀请人:钟学秀 )

                                    意大利University of Messina


时      间:6月14日  16:00-17:00


地     点:数学院西楼二楼会议室


报告人简介:

       Luca Vilasi is currently Assistant Professor of Mathematical Analysis at the Department of Mathematical and Computer Sciences, Physical Sciences and
Earth Sciences (MIFT) of the University of Messina, Italy.


摘      要:

       We consider a linearly perturbed elliptic problem governed by the spectral fractional Laplacian and with mixed Dirichlet–Neumann boundary data. The nonlinearity is considered both in the subcritical and in the critical regime. By using linking and variational theorems of mixed type (one of the so called ∇-theorems), we prove the existence of multiple solutions when the perturbation parameter is close to the eigenvalues of the operator.


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