Uniqueness results on surfaces with boundary (Q2403784)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness results on surfaces with boundary |
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Uniqueness results on surfaces with boundary (English)
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12 September 2017
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This paper is concerned with the study of nonlinear elliptic equations with Neumann boundary condition on a compact surface with nonnegative curvature and strictly convex boundary. The main results establish the existence of the solution and related qualitative properties, including a geometric inequality. The proofs strongly rely on a pointwise analysis based on the strong maximum principle.
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nonlinear elliptic equation
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integral method
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Neumann boundary condition
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