Infinitely many solutions of a symmetric semilinear elliptic equation on an unbounded domain |
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Authors: | Sara Maad |
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Affiliation: | (1) Department of Mathematics, Uppsala University, P. O. Box 480, SE-751 06 Uppsala, Sweden |
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Abstract: | We study a semilinear elliptic equation of the form wheref is continuous, odd inu and satisfies some (subcritical) growth conditions. The domain Ω⊂RN is supposed to be an unbounded domain (N≥3). We introduce a class of domains, called strongly asymptotically contractive, and show that for such domains Ω, the equation has infinitely many solutions. |
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