In this paper,we consider the existence of multiple positive solutions of the following inhomepeneous semilinear elliptic equation where λ> 0.ed and ω is a bounded smooth open set in R2,h(x)∈ L 2(Ω),h(x) 0.f(t)...In this paper,we consider the existence of multiple positive solutions of the following inhomepeneous semilinear elliptic equation where λ> 0.ed and ω is a bounded smooth open set in R2,h(x)∈ L 2(Ω),h(x) 0.f(t)∈ C1([0.+∝)) satisfies f(0) =f'(0)=0.fn(t) exists and fn(t)> 0.0<f(t) <Cexp(at) for some constants C,α> 0.0 <u <2 and t∈(0.+c),f(t)<0tf'(t) for someθ ∈(0,1). By looking for the local miaimum of the corresponding energy functional we tain the first minimum positive solution and by applying mountain pass lemma around the ndboum positive solution we prove the following result:展开更多
文摘In this paper,we consider the existence of multiple positive solutions of the following inhomepeneous semilinear elliptic equation where λ> 0.ed and ω is a bounded smooth open set in R2,h(x)∈ L 2(Ω),h(x) 0.f(t)∈ C1([0.+∝)) satisfies f(0) =f'(0)=0.fn(t) exists and fn(t)> 0.0<f(t) <Cexp(at) for some constants C,α> 0.0 <u <2 and t∈(0.+c),f(t)<0tf'(t) for someθ ∈(0,1). By looking for the local miaimum of the corresponding energy functional we tain the first minimum positive solution and by applying mountain pass lemma around the ndboum positive solution we prove the following result:
