Semilinear Equations in R N Without Condition at Infinity
نویسنده
چکیده
In this paper we establish that some nonlinear elliptic (and parabolic) problems are well posed in all of R N without prescribing the behavior at infinity. A typical example is the following: Let 1 < p < oo. For every f ~ Laloc(R N) there is a unique u ~ L~o~(R N) satisfying Au + lulP-Xu = f ( x ) on R N.
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