TitoloA nonlinear Steklov problem arising in corrosion modeling
Autore/iPagani, C.D.; Pierotti,D.; Verzini, G.; Zilio, A.
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AbstractWe investigate the existence of pairs (?, u), with ? > 0 and u harmonic function in the unit ball B ? R3 , such that the nonlinear boundary condition ?? u = ? sinh u holds on ?B. This type of exponential boundary condition arises in corrosion modeling (Butler-Volmer condition). We prove existence of global branches of nontrivial solutions in the framework of analytic bifurcation theory and investigate their properties both analytically and numerically.