科研之友
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摘要
We establish the existence of an entire solution for a class of stationary Schr%26#246;dinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The proof is based on the critical point theory in the sense of Clarke and we apply Chang%26#39;s version of the mountain pass lemma for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework a result of Rabinowitz (1992) related to entire solutions of the Schr%26#246;dinger equation.
