Existence and asymptotic behavior of entire blow-up solutions for quasilinear elliptic equation |
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| Authors: | Yong Zhang Peihao Zhao |
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| Institution: | 1. Department of Mathematics , Lanzhou University , Lanzhou, Gansu, 730000, P R China zhangyong_2005@lzu.cn;3. Department of Mathematics , Lanzhou University , Lanzhou, Gansu, 730000, P R China |
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| Abstract: | In this article, we discuss the blow-up problem of entire solutions of a class of second-order quasilinear elliptic equation Δ p u ≡ div(|?u| p?2?u) = ρ(x)f(u), x ∈ R N . No monotonicity condition is assumed upon f(u). Our method used to get the existence of the solution is based on sub-and supersolutions techniques. |
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| Keywords: | Existence Entire blow-up solution Quasilinear elliptic equation Sub-and supersolutions |
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