Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case
We study the nonlinear elliptic system of Lane–Emden type -Δu = sgn(v) |v|p-1 in Ω, -Δv = f(x,u) in Ω, u = v = 0 on ∂Ω, where Ω is an open bounded subset of ℝN, N ≥ 2, p > 1 and f : Ω × ℝ → ℝ is a Carathéodory function satisfying suitable growth assumptions. Existence and multiplicity results are...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2015-02-01
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| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2014-0049 |