Existence and nonexistence of solutions to cone elliptic equations via Galerkin method

Thi Thu Huong Nguyen and Nhu Thang Nguyen

Mathematische Nachrichten, 2021, vol. 294, issue 10, 1932-1949

Abstract: Based on singular analysis on manifolds with conical singularities, we establish the existence and nonexistence of solutions for a class of semilinear degenerate elliptic problems on conic manifolds with boundary by utilizing Galerkin method.

Date: 2021
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