This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...
CONVEXITY OF LEVEL SETS FOR ELLIPTIC PROBLEMS IN CONVEX DOMAINS OR CONVEX RINGS: TWO COUNTEREXAMPLES
American Journal of Mathematics, Vol. 138, No. 2 (April 2016), pp. 499-527 (29 pages) This paper deals with some geometrical properties of solutions of some semilinear elliptic equations in bounded ...
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