2017
Том 69
№ 9

All Issues

Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth

Pavlenko V. N.

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Abstract

We consider resonance elliptic variational inequalities with second-order differential operators and discontinuous nonlinearity of linear grows. The theorem on the existence of a strong solution is obtained. The initial problem is reduced to the problem of the existence of a fixed point in a compact multivalued mapping and then, with the use of the Leray - Schauder method, the existence of the fixed point is established.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 4, pp 596-608.

Citation Example: Pavlenko V. N. Resonance elliptic variational inequalities with discontinuous nonlinearities of linear growth // Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 513-522.

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