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On the eigenvalue set structure for higher-order equations of elliptic type with discontinuous nonlinearities

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Abstract

We study the existence of nonzero solutions of the Dirichlet problem for a higherorder equation of elliptic type with a discontinuous nonlinearity. By the variational method, we prove the existence of a ray of positive eigenvalues and prove an upper bound for the bifurcation parameter in the problem.

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References

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    D. K. Potapov

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  1. D. K. Potapov
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Original Russian Text © D.K. Potapov, 2010, published in Differentsial’nye Uravneniya, 2010, Vol. 46, No. 1, pp. 150–152.

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Potapov, D.K. On the eigenvalue set structure for higher-order equations of elliptic type with discontinuous nonlinearities. Diff Equat 46, 155–157 (2010). https://doi.org/10.1134/S0012266110010179

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  • DOI: https://doi.org/10.1134/S0012266110010179

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