Multiple solutions for elliptic equations at resonance |
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| Authors: | Lorenzo Pisani |
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| Institution: | (1) Universitá degli Studi di Bari, Dipartimento Interuniversitario di Matematica, Campus Universitario, Via Orabona 4, 70125 Bari, Italy, e-mail: pisani@dm.uniba.it, IT |
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| Abstract: | We study an asymptotically linear elliptic equation at resonance, with an odd nonlinearity. By a penalization technique and
suitable min-max theorems (which give Morse index estimates), we prove the existence of pairs of non trivial solutions, where N is, roughly speaking, the difference between the Morse indexes at zero and at infinity.
Received December 1999 |
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| Keywords: | : Asymptotically linear elliptic equations resonance at infinity multiple solutions critical points of even functionals |
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