The existence of a nontrivial solution to an elliptic equation with critical Sobolev exponent and a general potential well
The purpose of this paper is to examine a class of elliptic problems that involve negative potentials $ a\in L^{\frac{N}{2} }(\Omega) $ and critical nonlinearities. To discuss this, the well-known eigenvalue problem $ -\Delta- a $ is considered. Under some mild assumptions, an existence result is ob...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025336 |
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