A Sign-Changing Solution for a Superlinear Dirichlet Problem
نویسندگان
چکیده
منابع مشابه
A Sign-Changing Solution for a Superlinear Dirichlet Problem
We show that a superlinear boundary value problem has at least three nontrivial solutions. A pair are of one sign (positive and negative, respectively), and the third solution changes sign exactly once. The critical level of the sign-changing solution is bounded below by the sum of the two lesser levels of the one-sign solutions. If nondegenerate, the one sign solutions are of Morse index 1 and...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1997
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181071858