Positive solution and bifurcation from the essential spectrum of a semilinear elliptic equation on Rn
β Scribed by Dao-Min Cao
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 372 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, we consider the semilinear elliptic equation For p=2NΓ(N&2), we show that there exists a positive constant +\\*>0 such that (V) + possesses at least one solution if + # (0, +\\*) and no solutions if +>+\\*. Furthermore, (V) + possesses a unique solution when +=+\\*, and at least two s
In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain β¦ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so