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On some elliptic boundary-value problems with discontinuous nonlinearities

Giovanni Anello (2005)

Annales Polonici Mathematici

We establish two existence results for elliptic boundary-value problems with discontinuous nonlinearities. One of them concerns implicit elliptic equations of the form ψ(-Δu) = f(x,u). We emphasize that our assumptions permit the nonlinear term f to be discontinuous with respect to the second variable at each point.

On some inequalities for p -norms.

Kirmaci, U.S., Bakula, M.Klaricic, Özdemir, M.E., Pecaric, Josip E. (2008)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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