We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at +∞ and sublinear at -∞. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative

Nonlinear elliptic equations with asymmetric asymptotic behavior at ±∞ / Candito, Pasquale; Livrea, Roberto; Nikolaos S., Papageorgiou. - In: NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS. - ISSN 1468-1218. - 32:1(2016), pp. 159-177. [10.1016/j.nonrwa.2016.04.005]

Nonlinear elliptic equations with asymmetric asymptotic behavior at ±∞

CANDITO, Pasquale
;
2016-01-01

Abstract

We consider a nonlinear, nonhomogeneous Dirichlet problem with reaction which is asymptotically superlinear at +∞ and sublinear at -∞. Using minimax methods together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions one of which is negative
2016
nonhomogeneous Dirichlet problem, minimax methods, constant-sign and nodal solution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/6908
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