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Abstract
In this paper using the critical point theory of Chang [J. Math. Anal. Appl. 80: 102–129, 1981] for locally Lipschitz functionals we prove an existence theorem for noncoercive Neumann problems with discontinuous nonlinearities. We use the mountain-pass theorem to obtain a nontrivial solution.
Key words and phrases.: Discontinuous nonlinearities; critical point theory; locally Lipschitz functionals; mountain-pass theorem
Received: 2002-09-16
Revised: 2003-01-20
Published Online: 2010-06-09
Published in Print: 2003-December
© Heldermann Verlag