The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent

نویسندگان

  • Ching-yu Chen
  • Tsung-fang Wu
چکیده

In this paper, we study the combined effect of concave and convex nonlinearities on the number of solutions for an indefinite semilinear elliptic system ðEk;lÞ involving critical exponents and sign-changing weight functions. Using Nehari manifold, the system is proved to have at least two nontrivial nonnegative solutions when the pair of the parameters ðk;lÞ belongs to a certain subset of R. 2012 Elsevier Inc. All rights reserved.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 218  شماره 

صفحات  -

تاریخ انتشار 2012