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Existence of positive solutions of quasilinear elliptic equations. (English) Zbl 0878.35040
Summary: We prove under quite general assumptions the existence of a positive solution to the equation \(\Delta u+f(x,u) +g(x)x\) \(\nabla u=0\) in exterior domains of \(\mathbb{R}^n (n\geq 3)\).

MSC:
35J60 Nonlinear elliptic equations
34A34 Nonlinear ordinary differential equations and systems
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References:
[1] Swanson, Pacific J. Math. 104 pp 483– (1983) · Zbl 0469.35012
[2] Constantin, Rend. Mat. Appl. 13 pp 627– (1994)
[3] Constantin, C.R. Acad. Sci. 320 pp 1319– (1995)
[4] DOI: 10.1016/0022-247X(80)90310-8 · Zbl 0452.35039
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