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Issue 5
Nov.  2011
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CHEN Zi-gao. Existence of multiple solutions for singular elliptic equations involving critical exponents with Neumann boundary condition[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 79-87.
Citation: CHEN Zi-gao. Existence of multiple solutions for singular elliptic equations involving critical exponents with Neumann boundary condition[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 79-87.

Existence of multiple solutions for singular elliptic equations involving critical exponents with Neumann boundary condition

  • Received Date: 2011-03-01
  • Rev Recd Date: 2011-06-01
  • Publish Date: 2011-09-25
  • By using variational methods, the existence and multiplicity of weak solutions for Neumann boundary problem for some singular elliptic equations involving critical Sobolev-Hardy exponents and Hardy terms was studied on bounded domain included by R^N. If f(x,t) satisfies the non-quadratic condition, based on the dual fountain theorem and the means of straightening the boundary, we proved that there exists *0 such that for any (0,*), this problem has a sequence of solutions {u_k} W^{1,2}() such that J(u_k)0 and J(u_k)0 as k.
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