On the eigenvalue set structure for higher-order equations of elliptic type with discontinuous nonlinearities
Dmitriy Konstantinovich Potapov · Differential Equations · 2010
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.