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edge-degenerate

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds
Part of
- Partial differential equations on manifolds; differential operators
- Elliptic equations and systems
Haining Fan
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 58 / Issue 2 / June 2015

Published online by Cambridge University Press:

17 February 2015, pp. 355-377
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In this paper we establish the Nehari manifold on edge Sobolev spaces and study some of their properties. Furthermore, we use these results and the mountain pass theorem to get non-negative solutions of a class of edge-degenerate elliptic equations on singular manifolds under different conditions.