Abstract
A solvability theorem is obtained for a quasilinear elliptic boundary value problem. The linear part of the problem is an elliptic operator of order 2m which has a nontrivial kernel not necessarily symmetric. The nonlinear part may grow sublinearly and contain derivatives of order up to 2m. The proof is based on Borsuk’s Theorem and the Nussbaum–Sodovskii degree.
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