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一类带Neumann边界条件的半线性椭圆方程正解的存在性

The Existence of Positive Solutions of a Class of Semilinear Elliptic Systems with the Neumann Boundary Value Condition
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摘要 利用变分法讨论了一类带Neumann边界条件的半线性椭圆方程正解的存在性,并得到了在下临界指标时的两个存在性定理. We cosider a class of semilinear elliptic systems with the Neumann boundary value condition by using variational methods, two existences theorem are proved for under critical exponents and critical exponents.
作者 杜刚 张静文
出处 《喀什师范学院学报》 2007年第6期9-11,共3页 Journal of Kashgar Teachers College
关键词 变分法 临界指标 山路引理 Variational methods Critical exponents Mountain Pass lemma
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参考文献4

  • 1Adimurthi, Mancini G. The Neumann problem for elliptic equations with critical nonlinearity [ J ]. A tribute inhonour of G. Prodi, Scuola Norm, Sup. Pisa, 1991 : 9-25.
  • 2Coleman S, Glaser V, Martin A, Action minima among solutions to a class of Enclidean scalar field equations [J ]. Comm Math Phys, 1978,58:211-221.
  • 3Sruwe M. Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems [M]. Berlin: SpringerVerlag, 1996.
  • 4Wang X J. Neumann problem of semilinear elliptic equations involving critical Sobolev exponents [ J ]. J Diff Eqns, 1991,93- 283-310.

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