Existence and multiplicity results for some superlinear elliptic problems on R{sup N}
Journal Article
·
· Communications in Partial Differential Equations
- Universitaet Heidelberg (Germany)
- Utah State Univ., Logan, UT (United States)
We study the semilinear elliptic PDE -{Delta}u + b(x)u = f(x,u) in R{sup N}. The nonlinearity f will be superlinear and subcritical. We prove the existence of a positive solution under various hypotheses on b. If b(x) = {lambda}a(x) + 1 and f is odd in u, then we also discuss the dependence of the number of (possibly sign changing) solutions on the parameter {lambda}. We do not assume that b or f have a limit for {vert_bar}x{vert_bar} {yields} {infinity}. 21 refs.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 482453
- Journal Information:
- Communications in Partial Differential Equations, Journal Name: Communications in Partial Differential Equations Journal Issue: 9-10 Vol. 20; ISSN CPDIDZ; ISSN 0360-5302
- Country of Publication:
- United States
- Language:
- English
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