非对称p-Laplacian Dirichlet问题的非平凡解
비대칭p-Laplacian Dirichlet문제적비평범해
Nontrivial solutions for asymmetric p-Laplacian Dirichlet problem
  • 万方数据
    纯粹数学与应用数学 순수수학여응용수학
    PURE AND APPLIED MATHEMATICS
    2014年 1期 77-83 ,共7页

    胡玉玲%裴瑞昌

    호옥령%배서창

    山路理论%渐近线性%超线性%Dirichlet问题%单侧共振 山路理論%漸近線性%超線性%Dirichlet問題%單側共振
    산로이론%점근선성%초선성%Dirichlet문제%단측공진
    mountain pass theorem%asymptotically linear%superlinear%Dirichlet problem%one side resonance
    研究了一类非对称的 p-Laplacian(p >1) Dirichlet 问题。在正半轴不需要假设 Ambrosetti-Rabinowitz 的超二次条件下，利用山路定理建立非平凡解的存在性结果。
    연구료일류비대칭적 p-Laplacian(p >1) Dirichlet 문제。재정반축불수요가설 Ambrosetti-Rabinowitz 적초이차조건하，이용산로정리건립비평범해적존재성결과。
    A class of asymmetric p-Laplacian Dirichlet problem is studied. Without Ambrosetti-Rabinowitz′s super quadratic condition on the positive semiaxis, the existence of nontrivial solutions is established by using mountain pass theorem.
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