Existence of entire solutions for some elliptic systems

1994/12/01 by Ding Yanheng, Li Shujie
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.1017/s0004972700013605

Abstract

We establish the existence of solutions for the elliptic systems on ℝ N : such that u, v ∈ W 1, 2 (ℝ N ), where with q ( x )→∞ as | x | → ∞ and ( x, u, v ) being superlinear or sublinear as .

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