In this paper we consider an asymptotically linear cooperative elliptic system at resonance. By a penalization technique and by the use of Morse theory, we prove, firstly, the existence of a non-zero solution if the difference between the Morse index at zero and the Morse index at infinity is big enough. Later on we will prove the existence of N - 1 pairs of non-trivial solutions, where N is, roughly speaking, the difference between the Morse index at zero and the Morse index at infinity

Asymptotically linear cooperative elliptic system: existence and multiplicity / Pomponio, A.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 52:3(2002), pp. 989-1003. [10.1016/S0362-546X(02)00148-7]

Asymptotically linear cooperative elliptic system: existence and multiplicity

Pomponio, A.
2002-01-01

Abstract

In this paper we consider an asymptotically linear cooperative elliptic system at resonance. By a penalization technique and by the use of Morse theory, we prove, firstly, the existence of a non-zero solution if the difference between the Morse index at zero and the Morse index at infinity is big enough. Later on we will prove the existence of N - 1 pairs of non-trivial solutions, where N is, roughly speaking, the difference between the Morse index at zero and the Morse index at infinity
2002
Asymptotically linear cooperative elliptic system: existence and multiplicity / Pomponio, A.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 52:3(2002), pp. 989-1003. [10.1016/S0362-546X(02)00148-7]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/10225
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