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Multiplicity of solutions of elliptic system using two critical point theorem
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In this paper, we consider the system of three elliptic equations using two critical point theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.
Abstract
In this paper, we consider the system of three elliptic equations using two critical point theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.
참고문헌 (4)
- D.G. de Figueiredo, "Reaction Di usion Systems", pp.121~130 (1998), Dekker
- D.Lupo, "Two applications of a three critical points theorem", J. Differential Equations, 132(2), pp.222~238 (1996)
- Eugenio Massa, "Multiplicity results for a subperlinear elliptic system with partial interference with the spectrum", Nonlinear Analysis, 67, pp.295~306 (2007)
- P.L. Felmer, "Periodic solutions of "superquadratic" Hamiltonian systems", J. Dif-ferential Equations, 102(1), pp.188~207 (1993)
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