How to break the uniqueness of W1,ploc(Ω)Wloc1,p(Ω) -solutions for very singular elliptic problems by non-local terms
| dc.creator | Santos, Carlos Alberto | |
| dc.creator | Santos, Lais | |
| dc.date | 2019-03-07T12:30:48Z | |
| dc.date | 2019-03-07T12:30:48Z | |
| dc.date | 2018-12 | |
| dc.date.accessioned | 2023-09-27T21:58:34Z | |
| dc.date.available | 2023-09-27T21:58:34Z | |
| dc.identifier | 1420-9039 | |
| dc.identifier | https://doi.org/10.1007/s00033-018-1040-8 | |
| dc.identifier | http://www.locus.ufv.br/handle/123456789/23794 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8968900 | |
| dc.description | In this paper, we are going to show existence of branches of bifurcation of positive W1,ploc(Ω)Wloc1,p(Ω) -solutions for the very singular non-local λλ -problem −⎛⎝⎜∫Ωg(x,u)dx⎞⎠⎟rΔpu=λ(a(x)u−δ+b(x)uβ) in Ω,u>0 in Ω and u=0 on ∂Ω, −(∫Ωg(x,u)dx)rΔpu=λ(a(x)u−δ+b(x)uβ) in Ω,u>0 in Ω and u=0 on ∂Ω, where Ω⊂RNΩ⊂RN is a smooth bounded domain, δ>0δ>0 , 0<β<p−10<β<p−1 , a and b are nonnegative measurable functions and g is a positive continuous function. Our approach is based on sub- supersolutions techniques, fixed point theory, in the study of W1,ploc(Ω)Wloc1,p(Ω) -topology of a solution application and a new comparison principle for sub-supersolutions in W1,ploc(Ω)Wloc1,p(Ω) to a problem with p-Laplacian operator perturbed by a very singular term at zero and sublinear at infinity. | |
| dc.format | ||
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Zeitschrift für angewandte Mathematik und Physik | |
| dc.relation | Volume 69, Issue 6, Articles 145, December 2018 | |
| dc.rights | Springer Nature Switzerland AG | |
| dc.subject | Very singular term | |
| dc.subject | Uniqueness | |
| dc.subject | Non-local | |
| dc.subject | Comparison principle | |
| dc.title | How to break the uniqueness of W1,ploc(Ω)Wloc1,p(Ω) -solutions for very singular elliptic problems by non-local terms | |
| dc.type | Artigo |