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| Positive Solutions for Asymptotically Linear Cone-Degenerate Elliptic Equations* |
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Citation： |
Hua CHEN,Peng LUO,Shuying TIAN.Positive Solutions for Asymptotically Linear Cone-Degenerate Elliptic Equations*[J].Chinese Annals of Mathematics B,2022,43(5):685~718 |
| Page view： 414
Net amount： 460 |
Authors： |
Hua CHEN; Peng LUO;Shuying TIAN |
Foundation： |
National Natural Science Foundation of China (Nos.11631011, 11601402, 12171183, 11831009, 12071364, 11871387). |
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| Abstract： |
In this paper, the authors study the asymptotically linear elliptic equation on manifold with conical singularities ??Bu + λu = a(z)f(u), u ≥ 0 in RN+,where N = n + 1 ≥ 3, λ > 0, z = t,x1,· · · ,xn, and ?B = (t?t)2 + ?2x1 + · · · + ?2xn. Combining properties of cone-degenerate operator, the Pohozaev manifold and qualitative properties of the ground state solution for the limit equation, we obtain a positive solution under some suitable conditions on a and f. |
Keywords： |
Asymptotically linear, Pohozaev identity, Cone degenerate elliptic operators |
Classification： |
35J20, 58J05 |
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