Nonexistence of Ground States of -△u = u^p - u^q |
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基金项目: | Supported by the Excellent Scholars Foundation of Zhuhai School (200500102) Acknowledgements The authors wish to express their thanks to the referee for helpful comments and valuable suggestions which improve the original version of this paper. |
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摘 要: | The authors use the method of moving spheres to prove the nonexistence of ground states of -△u = u^p - u^q for n≥3,-∞〈p〈(n+2)/(n-2) and q〉max (1,p), In fact this conclusion is a special case of -△u =f(u) for n≥2.
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关 键 词: | 移动球面 半线性椭圆方程 不存在性 基态 |
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