In this paper, we use Fucik spectrum, ordinary differential equation theory of Banach spaces to study semilinear elliptic boundary value problems with jumping nonlinearities at zero or infinity, especially with resonance at infinity, and obtain new results on the existence of multiple solutions and
โฆ LIBER โฆ
Semilinear elliptic boundary value problems with double resonance between two consecutive eigenvalues
โ Scribed by Jiabao Su
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 126 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
โฆ Synopsis
This work was done during the author's visit to the Morningside Center of Mathematics (MCM), Academia Sinica. The author thanks the members of MCM for their hospitality.
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such problems goes back to B. RIEMANN in 1851. So A. I. GUSEINOV [251, V. K. NATALEVIC [39], [40], B. I. GEKHT [24] and others (cf. the recent monograph [26] of GUSEINOV and MUKHTAROV) applied iteration methods to these problems, whereas IT, POGORZELSKI in his monograph [C2], Chap. 19, 8 5 and other