Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms
Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms
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DOI：
10.1007/s00033-011-0175-7
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发表时间：
2011-12
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影响因子：
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通讯作者：
Huiling Li;P. Pang;Mingxin Wang
中科院分区：
文献类型：
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作者：
Huiling Li;P. Pang;Mingxin Wang
研究了一类广义拟线性椭圆方程- Δpu=a(x)um - b(x)f(u), p < > 1和0 <m<p - 1的爆破解的存在唯一性和渐近性。主要的技术工具是一个新的比较原理，它使我们能够将半线性方程的参数扩展到拟线性方程。实际上，本文试图将p= 2的半线性情况的所有可用结果推广到p= 1的拟线性情况。
We study the existence, uniqueness, and asymptotic behavior of blow-up solutions for a general quasilinear elliptic equation of the type −Δpu=a(x)um−b(x)f(u) withp> 1 and 0 <m<p−1. The main technical tool is a new comparison principle that enables us to extend arguments for semilinear equations to quasilinear ones. Indeed, this paper is an attempt to generalize all available results for the semilinear case withp= 2 to the quasilinear case withp> 1.