In this paper,we consider the existence of multiple solutions of biharmonic equations boundarv value problem:where Ωis a bounded smooth domain in RN,N ≥ 5;λ∈ R1is a given constant; p = is the critlcal Sobolev expo...In this paper,we consider the existence of multiple solutions of biharmonic equations boundarv value problem:where Ωis a bounded smooth domain in RN,N ≥ 5;λ∈ R1is a given constant; p = is the critlcal Sobolev exponent for the embedding H20 (Ω) → Lp(Ω);△2=△△ denotes iterated N -dimensional Laplacian; f(x) is a given function. Some results about the existence and nonexistence of multiple solutions for problem (1) have been obtained by Ekeland,s variational principle and Mountain-Pass Lemma under some assnmptions on f(x) and N.展开更多
文摘In this paper,we consider the existence of multiple solutions of biharmonic equations boundarv value problem:where Ωis a bounded smooth domain in RN,N ≥ 5;λ∈ R1is a given constant; p = is the critlcal Sobolev exponent for the embedding H20 (Ω) → Lp(Ω);△2=△△ denotes iterated N -dimensional Laplacian; f(x) is a given function. Some results about the existence and nonexistence of multiple solutions for problem (1) have been obtained by Ekeland,s variational principle and Mountain-Pass Lemma under some assnmptions on f(x) and N.
