Positive solutions of quasilinear elliptic equations. (English) Zbl 0891.35033
Summary: This paper deals with the existence of positive solutions of convection-diffusion equations \(\Delta u+ f(x,u)+ g(|x|)x \nabla u= 0\) in exterior domains of \(\mathbb{R}^n\) \((n\geq 3)\).
MSC:
| 35J60 | Nonlinear elliptic equations |
References:
| [1] | Constantin, A., Existence of positive solutions of quasilinear elliptic equations, Bull Austral. Math. Soc., 54, 147-154 (1996) · Zbl 0878.35040 |
| [2] | D. Gilbarg, N. S. Trudinger, 1983, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York; D. Gilbarg, N. S. Trudinger, 1983, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, New York · Zbl 0562.35001 |
| [3] | Nemyckii, V., The fixed point method in analysis, Amer. Math. Soc. Transl., 34, 1-37 (1963) · Zbl 0173.16902 |
| [4] | Noussair, E. S.; Swanson, C. A., Positive solutions of quasilinear elliptic equations in exterior domains, J. Math. Anal. Appl., 75, 121-133 (1980) · Zbl 0452.35039 |
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