Large solution to nonlinear elliptic equation with nonlinear gradient terms
نویسندگان
چکیده
منابع مشابه
Large Solutions of Semilinear Elliptic Equations with Nonlinear Gradient Terms
We show that large positive solutions exist for the equation (P±) :∆u±|∇u|q = p(x)uγ in Ω ⊆ RN(N ≥ 3) for appropriate choices of γ > 1,q > 0 in which the domain Ω is either bounded or equal to RN . The nonnegative function p is continuous and may vanish on large parts of Ω. If Ω = RN , then p must satisfy a decay condition as |x| →∞. For (P+), the decay condition is simply ∫∞ 0 tφ(t)dt <∞, wher...
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Regimantas Čiupaila, Mifodijus Sapagovas, Olga Štikonienė Vilnius Gediminas Technical University Saulėtekio ave. 11, LT-10223 Vilnius, Lithuania [email protected] Institute of Mathematics and Informatics, Vilnius University Akademijos str. 4, LT-08663 Vilnius, Lithuania [email protected] Vilnius University Naugarduko str. 24, LT-03225 Vilnius, Lithuania olga.stikoniene@mif...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2011
ISSN: 0022-0396
DOI: 10.1016/j.jde.2011.08.031