Geodesic
On a number of solutions in problems with spectral parameter for equations with discontinuous operators
Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 56-62

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In a real reflexive Banach space we consider a problem on existence of solutions to a problem with a spectral parameter for equations with discontinuous operators. By the variational approach we obtain theorems on the number of the solutions to the considered problems. As an application, we consider main boundary value problems for elliptic equations with a spectral parameter and discontinuous nonlinearities.
Keywords: spectral parameter, discontinuous operator, variational method, number of solutions. 
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     author = {D. K. Potapov},
     title = {On a number of solutions in  problems  with  spectral parameter for equations  with discontinuous operators},
     journal = {Ufa mathematical journal},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a5/}
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D. K. Potapov. On a number of solutions in  problems  with  spectral parameter for equations  with discontinuous operators. Ufa mathematical journal, Tome 5 (2013) no. 2, pp. 56-62. http://geodesic.mathdoc.fr/item/UFA_2013_5_2_a5/