Codice | QDD 45 |
Titolo | Variational methods for nonlinear Steklov eigenvalue problems with an indefinite weight function |
Data | 2009-07-10 |
Autore/i | Pagani, C.D. ; Pierotti, D. |
Link | Download full text |
Abstract | We consider the problem of finding a harmonic function $u$ in a bounded domain $ om subset R^n$, $n ge 2$, satisfying a nonlinear boundary condition of the form $ partial_{ nu}u(x)= lambda mu(x)h(u(x))$, $x in partial om$ where $ mu$ changes sign and $h$ is an increasing function with superlinear, subcritical growth at infinity. We study the solvability of the problem depending on the parameter $ lambda$ by using min-max methods.
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