논문KCI 등재
Existence of the solutions for the singular potential elliptic system
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초록
We investigate the multiple solutions for a class of the elliptic system with the singular potential nonlinearity. We obtain a theorem which shows the existence of the solution for a class of the elliptic system with singular potential nonlinearity and Dirichlet boundary condition. We obtain this result by using variational method and critical point theory.
Abstract
We investigate the multiple solutions for a class of the elliptic system with the singular potential nonlinearity. We obtain a theorem which shows the existence of the solution for a class of the elliptic system with singular potential nonlinearity and Dirichlet boundary condition. We obtain this result by using variational method and critical point theory.
참고문헌 (8)
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- M. Degiovanni, "Homotopical properties of a class of nonsmooth functions", Ann. Mat. Pura Appl, 156, pp.37~71 (1990)
- A. Groli, "Variational theorems of mixed type and asymptotically linear variational inequalities", Topol. Methods Nonlinear Anal, 12, pp.109~136 (1998)
- K.S. Ha, "Existence of multiple positive solutions of singular boundary value problems", Nonlinear Anal. TMA, 28, pp.1429~1438 (1997)
- K. Lan, "Positive solutions of semilinear equation with singularities", J. Differential Equations, 148, pp.407~421 (1998)
- A. M. Micheletti, "Multiplicity results for a fourth-order semilinear elliptic problem", Nonlinear Anal. TMA, 31(7), pp.895~908 (1998)
- P. H. Rabinowitz, "Minimax methods in critical point theory with applications to differential equations", CBMS Reg. Conf. Ser. Math. 6, Amer. Math. Soc (1986)
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