Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

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Sketch of the Proof of Theorem A: Consequently, there must exist another critical point u5 of J whose local degree is 1 = (−1) m(u5,J) . MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 38➲ ▲ ▲ ➲ ❏ ✘
Sketch of the Proof of Theorem A: Consequently, there must exist another critical point u5 of J whose local degree is Thus, m(u5,J) is even. 1 = (−1) m(u5,J) . MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 39➲ ▲ ▲ ➲ ❏ ✘
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: Sketch of the Proof of Theorem A: S
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 and 46: Sketch of the Proof of Theorem A: W
Page 47 and 48: References Solutions of a Nonlinear
Page 49: Fin Copyright c○ 2008 Jorge Cossi

Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

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