The existence of ground state solution to elliptic equation with exponential growth on complete noncompact Riemannian manifold
Abstract In this paper, we consider the following elliptic problem: − div g ( | ∇ g u | N − 2 ∇ g u ) + V ( x ) | u | N − 2 u = f ( x , u ) a ( x ) in M , ( P a ) $$ -\mathtt{div}_{g}\bigl( \vert \nabla_{g} u \vert ^{N-2}\nabla_{g} u \bigr)+V(x) \vert u \vert ^{N-2}u = \frac{f(x, u)}{a(x)}\quad \mb...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02338-4 |