Multiple Solutions for a Nonlinear Dirichlet Problem via - Mathematics

More documents

Recommendations

Info

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

$Applied Calculus Math 215 - University of Hawaii$

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

$Linear Algebra (Math 311) – Final$

In this lecture we study the nonlinear <strong>Dirichlet</strong> problem � Δu + f (u) = 0 in Ω, u = 0 on ∂Ω, MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 2➲ ▲ ▲ (0.1) ➲ ❏ ✘
In this lecture we study the nonlinear <strong>Dirichlet</strong> problem � Δu + f (u) = 0 in Ω, u = 0 on ∂Ω, where Δ is the Laplacian operator, Ω ⊂ R N is a bounded region with MULTIPLE SOLUTIONS FOR A NONLINEAR DIRICHLET PROBLEM VIA MORSE INDEX – 3➲ ▲ ▲ (0.1) smooth boundary, and f : R → R is a function of class C 1 asymptotically linear, i.e. . f ′ (∞) := lím |t|→∞ f ′ (t) ∈ R. ➲ ❏ ✘
Page 1: MULTIPLE SOLUTIONS FOR A NONLINEAR
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 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?