Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights
We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu−(μ/|x|2)u=λf(x)|u|q−2u+g(x)|u|2∗−2u in Ω, u=0 on ∂Ω, where 0∈&#...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
|
| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/584203 |
| id |
doaj-aa3fbb702542490b8eed751c2670a312 |
|---|---|
| record_format |
Article |
| spelling |
doaj-aa3fbb702542490b8eed751c2670a3122020-11-24T21:43:11ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/584203Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing WeightsTsing-San HsuHuei-Li LinWe study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu−(μ/|x|2)u=λf(x)|u|q−2u+g(x)|u|2∗−2u in Ω, u=0 on ∂Ω, where 0∈Ω⊂ℝN(N≥3) is a bounded domain with smooth boundary ∂Ω, λ>0, 0≤μ<μ¯=(N−2)2/4, 2∗=2N/(N−2), 1≤q<2, and f, g are continuous functions on Ω¯ which are somewhere positive but which may change sign on Ω. http://dx.doi.org/10.1155/2009/584203 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Tsing-San Hsu Huei-Li Lin |
| spellingShingle |
Tsing-San Hsu Huei-Li Lin Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights Boundary Value Problems |
| author_facet |
Tsing-San Hsu Huei-Li Lin |
| author_sort |
Tsing-San Hsu |
| title |
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights |
| title_short |
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights |
| title_full |
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights |
| title_fullStr |
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights |
| title_full_unstemmed |
Multiple Positive Solutions for Singular Elliptic Equations with Concave-Convex Nonlinearities and Sign-Changing Weights |
| title_sort |
multiple positive solutions for singular elliptic equations with concave-convex nonlinearities and sign-changing weights |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2009-01-01 |
| description |
We study existence and multiplicity of positive solutions for the following Dirichlet equations: −Δu−(μ/|x|2)u=λf(x)|u|q−2u+g(x)|u|2∗−2u in Ω, u=0 on ∂Ω, where 0∈Ω⊂ℝN(N≥3) is a bounded domain with smooth boundary ∂Ω, λ>0, 0≤μ<μ¯=(N−2)2/4, 2∗=2N/(N−2), 1≤q<2, and f, g are continuous functions on Ω¯ which are somewhere positive but which may change sign on Ω. |
| url |
http://dx.doi.org/10.1155/2009/584203 |
| work_keys_str_mv |
AT tsingsanhsu multiplepositivesolutionsforsingularellipticequationswithconcaveconvexnonlinearitiesandsignchangingweights AT hueililin multiplepositivesolutionsforsingularellipticequationswithconcaveconvexnonlinearitiesandsignchangingweights |
| _version_ |
1725915108372119552 |