Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

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References Referencias [1] A. Castro and J. Cossio, Multiple Solutions for a Nonlinear Dirichlet Problem, SIAM J. Math. Anal., Vol. 25 (1994), 1554-1561. [2] A. Castro, J. Cossio, and J. M. Neuberger, A Sign-Changing Solution for a Superlinear Dirichlet Problem, Rocky Mountain J. Math., Vol. 27, 4 (1997), 1041-1053. [3] A. Castro, J. Cossio, and J. M. Neuberger, On Multiple Solutions of a Nonlinear Dirichlet Problem, Nonlinear Analysis, Vol. 30, 6 (1997), 3657-3662. [4] A. Castro and A. C. Lazer, Critical Point Theory and the Number of ➲ ❏ ✘ MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 46➲ ▲ ▲
References Solutions of a Nonlinear Dirichlet Problem, Ann. Mat. Pura Appl., Vol. 70, No. 4 (1979), pp. 113-137. [5] J. Cossio and S. Herrón, Nontrivial Solutions for a Semilinear Dirichlet Problem with Nonlinearity Crossing Multiple Eigenvalues, Journal of Dynamics and Differential Equations, Vol. 16, No. 3, July 2004, 795-803. [6] J. Cossio and C. Vélez, Soluciones no Triviales para un Problema de Dirichlet Asintóticamente Lineal, Rev. Colombiana Mat., Vol. 37, No. 1, (2003), 25-36. [7] H. Hofer, The Topological Degree at a Critical Point of Mountain Pass Type, Proc. Sympos. Pure Math., Vol. 45, (1986), 501-509. ➲ ❏ ✘ MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 47➲ ▲ ▲
Page 1 and 2: MULTIPLE SOLUTIONS FOR A NONLINEAR
Page 3 and 4: In this lecture we study the nonlin
Page 5 and 6: Let λ1,λ2,λ3,... be the sequence
Page 7 and 8: Throughout this paper we assume f s
Page 9 and 10: Theorem A. If f satisfies (f1), (f2
Page 11 and 12: Theorem A. If f satisfies (f1), (f2
Page 13 and 14: REMARK: We prove the existence of u
Page 15 and 16: REMARK: We prove the existence of u
Page 17 and 18: Sketch of the Proof of Theorem A: B
Page 19 and 20: Sketch of the Proof of Theorem A: L
Page 21 and 22: Sketch of the Proof of Theorem A: T
Page 33 and 34: Sketch of the Proof of Theorem A: O
Page 37 and 38: Sketch of the Proof of Theorem A: S
Page 39 and 40: Sketch of the Proof of Theorem A: C
Page 41 and 42: Sketch of the Proof of Theorem A: N
Page 43 and 44: Sketch of the Proof of Theorem A: W
Page 45: Sketch of the Proof of Theorem A: W
Page 49: Fin Copyright c○ 2008 Jorge Cossi

Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

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