Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

More documents

Recommendations

Info

$Math 215 Worksheet 1 (1) Is it true that between any two distinct real ...$

$Applied Calculus Math 215 - University of Hawaii$

$Math 215 Derivative Practice Problems & Solutions 2009 July 11 ...$

$Linear Algebra (Math 311) – Final$

Sketch of the Proof of Theorem A: Let us denote by u5 this solution. Arguing as in the case in which u4 changes sign, one can get the existence of u6 and u7 which are sign-changing solutions of (0.1). We have completed the proof of (b) and (d) in Theorem A. MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 42➲ ▲ ▲ ➲ ❏ ✘
Sketch of the Proof of Theorem A: We finally prove (c). Let us suppose m(u5,J) = k. Writing u5 as u5 = x5 + ψ(x5), Lemma 1 asserts that m(x5, J) ˆ = k and so x5 is a local maximum of J. ˆ MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 43➲ ▲ ▲ ➲ ❏ ✘
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: Sketch of the Proof of Theorem A: N
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

Create successful ePaper yourself

Delete template?

Save as template?