Multiple Solutions for Nonlinear Elliptic Equations Involving Concave and Critical Exponents

In this project, we will use the Palais-Smale theory to present the multiplicity of positive solutions of nonlinear elliptic equations ()⎪⎩⎪⎨⎧Ω∈Ω+=Δ−−−10222*)(Huinuuuuzfuqλ where Ω is a bounded domain in NR and λ＞0, 1＜q＜2, 2*=2N/(N-2) for N 3 . ≥()⎪⎩⎪⎨⎧Ω∈Ω+=Δ−−−ppppWuinuuzguuu,1022*)(μ where Ω is a bounded domain in NR( N＞) and μ＞0, 1＜p＜N, = pN/(N-p) .

Project ID:PA9902-0663
External Project ID:NSC98-2115-M182-001-MY2