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	STUDIA MATHEMATICA - Issue no. 3 / 2009

	Article:	MULTIPLE SOLUTIONS FOR A HOMOGENEOUS SEMILINEAR ELLIPTIC PROBLEM IN DOUBLE WEIGHTED SOBOLEV SPACES. Authors: ILDIKÓ ILONA MEZEI, TÜNDE KOVÁCS.


	Abstract: In this paper we obtain multiple solutions in double weighted Sobolev spaces for an elliptic semilinear eigenvalue problem on unbounded domain, with sublinear growth of the nonlinear term. In the proofs of the main results we use variational methods and some recent theorems from the theory of best approximation in Banach spaces, established by Ricceri in [11] and Tsar’kov in [12]. Key words and phrases. semilinear elliptic equation, eigenvalue problem, variational methods, unbounded domain, weighted Sobolev space.




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