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...
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De Gruyter
2015-02-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2014-0049 |
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doaj-903247c6e2684655a123371583e542ce2021-09-06T19:39:54ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2015-02-0141253510.1515/anona-2014-0049Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic caseBarile Sara0Salvatore Addolorata1Dipartimento di Matematica, Università degli Studi di Bari “Aldo Moro”, Via E. Orabona 4, 70125 Bari, ItalyDipartimento di Matematica, Università degli Studi di Bari “Aldo Moro”, Via E. Orabona 4, 70125 Bari, ItalyWe 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 proved by means of a generalized Weierstrass Theorem and a variant of the Symmetric Mountain Pass Theorem.https://doi.org/10.1515/anona-2014-0049nonlinear elliptic system of lane–emden typesubquadratic growthfourth order elliptic equationvariational tools35j3535j5035j5835j60 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Barile Sara Salvatore Addolorata |
| spellingShingle |
Barile Sara Salvatore Addolorata Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case Advances in Nonlinear Analysis nonlinear elliptic system of lane–emden type subquadratic growth fourth order elliptic equation variational tools 35j35 35j50 35j58 35j60 |
| author_facet |
Barile Sara Salvatore Addolorata |
| author_sort |
Barile Sara |
| title |
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case |
| title_short |
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case |
| title_full |
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case |
| title_fullStr |
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case |
| title_full_unstemmed |
Existence and multiplicity results for some Lane–Emden elliptic systems: Subquadratic case |
| title_sort |
existence and multiplicity results for some lane–emden elliptic systems: subquadratic case |
| publisher |
De Gruyter |
| series |
Advances in Nonlinear Analysis |
| issn |
2191-9496 2191-950X |
| publishDate |
2015-02-01 |
| description |
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 proved by means of a generalized Weierstrass Theorem and a variant of the Symmetric Mountain Pass Theorem. |
| topic |
nonlinear elliptic system of lane–emden type subquadratic growth fourth order elliptic equation variational tools 35j35 35j50 35j58 35j60 |
| url |
https://doi.org/10.1515/anona-2014-0049 |
| work_keys_str_mv |
AT barilesara existenceandmultiplicityresultsforsomelaneemdenellipticsystemssubquadraticcase AT salvatoreaddolorata existenceandmultiplicityresultsforsomelaneemdenellipticsystemssubquadraticcase |
| _version_ |
1717769804916457472 |