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MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM

남혜원
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.12|한국수학논문집 (Korean Journal of Mathematics)|제16권 제4호|pp. 511-526

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참고문헌

키워드

elliptic systemsminimax theorem.
주제분류수학

초록

In this paper, we consider an elliptic system of three equations using the minimax 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 an elliptic system of three equations using the minimax 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 (3)

  1. D.G. de Figueiredo, "c ellipOn linear perturbations of superquadratitic systems, in: Reaction Diffusion Systems(Triste, 1995), in: Lecture Notes in Pure and Appl.Math.", pp.121~130, Dekker
  2. Eugenio Massa, "Multiplicity results for a subperlinear elliptic system with partial interference with the spectrum. Nonlinear Analysis", 67, pp.295~306 (2007)
  3. P.L. Felmer, "Periodic solutions of "superquadratic" Hamiltonian systems", J. Dif-ferential Equations, 102(1), pp.188~207 (1993)

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