On the Existence of Three Nontrivial Solutions of a Resonance Elliptic Boundary Value Problem with a Discontinuous Nonlinearity

Author:

Pavlenko V. N.,Potapov D. K.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference24 articles.

1. Ladyzhenskaya, O.A. and Ural’tseva, N.N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa (Linear and Quasilinear Elliptic Equations), Moscow: Nauka, 1964.

2. Krasnosel’skii, M.A. and Pokrovskii, A.V., Sistemy s gisterezisom (Systems with Hysteresis), Moscow: Nauka, 1983.

3. Krasnosel’skii, M.A. and Pokrovskii, A.V., Regular solutions of equations with discontinuous nonlinearities, Sov. Math. Dokl., 1976, vol. 17, no. 1, pp. 128–132.

4. Bonanno, G. and Candito, P., Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities, J. Differ. Equat., 2008, vol. 244, no. 12, pp. 3031–3059.

5. Chang, K.-C., Variational methods for non-differentiable functionals and their applications to partial differential equations, J. Math. Anal. Appl., 1981, vol. 80, no. 1, pp. 102–129.

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