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

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  • Thi Thu Huong Nguyen
  • Nhu Thang Nguyen

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.

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  • Thi Thu Huong Nguyen & Nhu Thang Nguyen, 2021. "Existence and nonexistence of solutions to cone elliptic equations via Galerkin method," Mathematische Nachrichten, Wiley Blackwell, vol. 294(10), pages 1932-1949, October.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:10:p:1932-1949
    DOI: 10.1002/mana.201900278
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    References listed on IDEAS

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    1. Bernd Ammann & Nadine Große & Victor Nistor, 2019. "Well‐posedness of the Laplacian on manifolds with boundary and bounded geometry," Mathematische Nachrichten, Wiley Blackwell, vol. 292(6), pages 1213-1237, June.
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    1. Claudio Dappiaggi & Alessio Marta, 2022. "A generalization of the propagation of singularities theorem on asymptotically anti‐de Sitter spacetimes," Mathematische Nachrichten, Wiley Blackwell, vol. 295(10), pages 1934-1968, October.

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