Applying the mountain pass theorem to an asymptotically linear elliptic equation on RN
نویسندگان
چکیده
منابع مشابه
On an Asymptotically Linear Elliptic Dirichlet Problem
where Ω is a bounded domain in RN (N ≥ 1) with smooth boundary ∂Ω. The conditions imposed on f (x, t) are as follows: (f1) f ∈ C(Ω×R,R); f (x,0) = 0, for all x ∈Ω. (f2) lim|t|→0( f (x, t)/t) = μ, lim|t|→∞( f (x, t)/t) = uniformly in x ∈Ω. Since we assume (f2), problem (1.1) is called asymptotically linear at both zero and infinity. This kind of problems have captured great interest since the pi...
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 1999
ISSN: 0360-5302,1532-4133
DOI: 10.1080/03605309908821481