Abstract
ABSTRACT In this paper, we are interested in the existence of solutions to the anisotropic nonlocal problem where Ω is a smooth bounded domain of , , or and , are parameters where is a critical exponent, and . The nonlinearity can be discontinuous, has subcritical growth subcritical growth and . Under appropriate assumptions on f, we obtain the existence of nontrivial solutions for using the Ekeland's Variational Principle, Nonsmooth Mountain Pass Theorem and a Concentration Compactness-Principle.
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