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Pure Mathematics 2021
具有Hardy项的半线性椭圆方程正径向对称解的存在性
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Abstract:
![\"\"](\"Edit_e33bcc40-5c5a-46f2-bbde-98865a187bc2.png\")
，u>0。其中![\"\"](\"Edit_14c3be4e-0546-4b8f-98e3-001a92e5b896.png\")
？？![\"\"](\"Edit_cd4550a0-14e3-49b2-b9ec-dd928060500c.png\")
且2*(a,s)是临界指数。我们主要利用山路引理、Moser迭代和比较原理证明该方程正径向对称解的存在性。![\"\"](\"Edit_2050ecaf-d643-4f2d-836f-8e52fa5f28ac.png\")
![\"\"](\"Edit_25e0da15-73c1-4556-b166-a080d2f4dd0f.png\")
![\"\"](\"Edit_73f1ad35-a03c-454c-9b6c-bca09d93b341.png\")
and 2*(a,s) is a critical exponent. We mainly prove the existence of positive radial symmetric solution of the equation by using the mountain pass lemma, Moser iteration and comparison principle.
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