Existence and Asymptotic Behaviour of Positive Solutions for Semilinear Elliptic Systems in the Euclidean Plane
نویسندگان
چکیده
We study the semilinear elliptic system ∆u = λp(x)f(v),∆v = λq(x)g(u), in an unbounded domain D in R2 with compact boundary subject to some Dirichlet conditions. We give existence results according to the monotonicity of the nonnegative continuous functions f and g. The potentials p and q are nonnegative and required to satisfy some hypotheses related on a Kato class.
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