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- Title
Existence of Solutions for the Laplacian Equation with Exponential Neumann Boundary Condition.
- Authors
Zhang, Tao; Zhou, Changliang; Zhou, Chunqin
- Abstract
In this paper, we consider the Laplacian equation with exponential Neumann boundary condition on a compact Riemann surface Σ with nonempty boundary ∂Σ. We show the existence result by using minmax methods without any assumption on the topology and the geometry of the surface. In particular, we generalize Guo–Liu's results in [Commum. Contemp. Math., 2006, 8: 737–761].
- Subjects
NEUMANN boundary conditions; SURFACE geometry; RIEMANN surfaces; GEOMETRIC surfaces; EQUATIONS
- Publication
Frontiers of Mathematics, 2023, Vol 18, Issue 4, p797
- ISSN
2731-8648
- Publication type
Article
- DOI
10.1007/s11464-020-0184-y