Singular solutions for semilinear elliptic equations with general supercritical growth
Singular solutions for semilinear elliptic equations with general supercritical growth
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一般超临界增长半线性椭圆方程的奇异解
DOI：
10.1007/s10231-022-01244-4
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Naito Yuki
中科院分区：
文献类型：
--
作者：
Miyamoto Yasuhito;Naito Yuki
构造了具有一般超临界增长的正径向奇异解。建立了径向函数空间中的精确渐近展开式及其唯一性。这些结果可应用于球的分叉问题。我们的方法可以统一地处理一大类非线性，例如，AND以及AND。主要的技术工具是半线性椭圆型方程的内禀变换和常微分方程组技术。
A positive radial singular solution forwith a general supercritical growth is constructed. An exact asymptotic expansion as well as its uniqueness in the space of radial functions are also established. These results can be applied to the bifurcation problemon a ball. Our method can treat a wide class of nonlinearities in a unified way, e.g.,,andas well asand. Main technical tools are intrinsic transformations for semilinear elliptic equations and ODE techniques.