【摘 要】
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In this paper, we consider the existence and uniqueness of the radial ground state to the following p-Laplacian equation involving super-critical or critical ex
【机 构】
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Department of Mathematics, University of Science and Technology of China,Hefei 230026, China
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In this paper, we consider the existence and uniqueness of the radial ground state to the following p-Laplacian equation involving super-critical or critical exponents: Δpu + uq - |Du|σ = 0, x ∈ Rn, 2 ＜ p ＜ n, q _＞ [n(p - 1) + p]/(n - p), σ ＞ 0. Applying the shooting argument, the Schauder’s fixed point theorem and some delicate estimates of auxiliary functions, we study the influence of the parameters n, p, q, σ on the existence and uniqueness of the radial ground state to the above p-Laplacian equation.
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