The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent
نویسندگان
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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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 218 شماره
صفحات -
تاریخ انتشار 2012