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在Orlicz—Sobolev空间中利用临界点理论考虑了非齐次拟线性椭圆方程{-div((︱▽u︱)▽u)=μ︱u︱q-2u+λ︱u︱p-2u在Ω中,u=0在Ω上无穷多解的存在性,其中Ω是R~N中边界光滑的有界区域,μ,λ∈R是两个参数. 相似文献
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In this article, we consider the existence of two positive solutions to nonlinear second order three-point singular boundary value problem: -u′′(t) = λf(t, u(t)) for all t ∈ (0, 1) subjecting to u(0) = 0 and αu(η) = u(1), where η∈ (0, 1), α∈ [0, 1), and λ is a positive parameter. The nonlinear term f(t, u) is nonnegative, and may be singular at t = 0, t = 1, and u = 0. By the fixed point index theory and approximation method, we establish that there exists λ* ∈ (0, +∞], such that the above problem has at least two positive solutions for any λ∈ (0, λ*) under certain conditions on the nonlinear term f. 相似文献
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本文研究带非奇扰动项的(2,p)-Laplace方程{u=0,-△u-△pu=a(x)|u|q-2u+f(x,u)x∈ЭΩ,x∈Ω,其中ΩСRN是有界光滑区域,1
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In this article,we study the existence of nontrivial solitary waves of a generalized Kadomtsev-Petviashvili equation via variational methods. 相似文献
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