A nonlinear elliptic boundary value problem at resonance
نویسندگان
چکیده
منابع مشابه
On a Nonlinear Elliptic Boundary Value Problem
Consider a bounded domain G C R (_N>1) with smooth boundary T . Let L be a uniformly elliptic linear differential operator. Let y and ß be two maximal monotone mappings in R. We prove that, when y ? 2 satisfies a certain growth condition, given f £ L (G ) there is u € H (G) such that Lu + y(u) 3 f a.e. on G, and -du/d v e ß(u\ ) a.e. on T, where du/civ is the conormal derivative associated with...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1977
ISSN: 0022-0396
DOI: 10.1016/0022-0396(77)90084-5