References$(function(){PrimeFaces.cw("TieredMenu","widget_formSmash_upper_j_idt145",{id:"formSmash:upper:j_idt145",widgetVar:"widget_formSmash_upper_j_idt145",autoDisplay:true,overlay:true,my:"left top",at:"left bottom",trigger:"formSmash:upper:referencesLink",triggerEvent:"click"});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt146_j_idt148",{id:"formSmash:upper:j_idt146:j_idt148",widgetVar:"widget_formSmash_upper_j_idt146_j_idt148",target:"formSmash:upper:j_idt146:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Higher order singular problems of Caffarelli-Kohn-Nirenberg-Lin typePrimeFaces.cw("AccordionPanel","widget_formSmash_some",{id:"formSmash:some",widgetVar:"widget_formSmash_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_all",{id:"formSmash:all",widgetVar:"widget_formSmash_all",multiple:true});
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PrimeFaces.cw("AccordionPanel","widget_formSmash_responsibleOrgs",{id:"formSmash:responsibleOrgs",widgetVar:"widget_formSmash_responsibleOrgs",multiple:true}); 2011 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 385, no 2, 721-736 p.Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

2011. Vol. 385, no 2, 721-736 p.
##### Keyword [en]

Nehari manifold, Caffarelli-Kohn-Nirenberg inequality, Sign-changing weight function, Infinitely many solutions
##### National Category

Mathematics
##### Identifiers

URN: urn:nbn:se:su:diva-56040DOI: 10.1016/j.jmaa.2011.07.005ISI: 000295062600012OAI: oai:DiVA.org:su-56040DiVA: diva2:408691
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt375",{id:"formSmash:j_idt375",widgetVar:"widget_formSmash_j_idt375",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt381",{id:"formSmash:j_idt381",widgetVar:"widget_formSmash_j_idt381",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt387",{id:"formSmash:j_idt387",widgetVar:"widget_formSmash_j_idt387",multiple:true});
##### Note

1Available from: 2011-04-16 Created: 2011-04-05 Last updated: 2012-07-02Bibliographically approved
##### In thesis

We prove the existence of nontrivial critical points of the functional J(lambda)(u) = integral(RN)1/p(vertical bar vertical bar x vertical bar(-a del k)u vertical bar(p) - lambda h(x)vertical bar vertical bar x vertical bar(-(a+k))u vertical bar(p)) - 1/qQ(x)vertical bar vertical bar x vertical bar(-b)u vertical bar(q)dx, related to the Caffarelli-Kohn-Nirenberg inequality and its higher order variant by Lin. As a consequence we obtain nontrivial solutions of the degenerate elliptic equation Delta(vertical bar x vertical bar(-ap)vertical bar Delta u vertical bar(p-2)Delta u) - lambda h(x)vertical bar x vertical bar(-(a+k)p)vertical bar u vertical bar(p-2)u = Q(x)vertical bar x vertical bar(-bq)vertical bar u vertical bar(q-2)u. We also show that when p = 2. J(lambda) has infinitely many critical points.

1. Topics in Nonlinear Elliptic Differential Equations$(function(){PrimeFaces.cw("OverlayPanel","overlay412818",{id:"formSmash:j_idt647:0:j_idt651",widgetVar:"overlay412818",target:"formSmash:j_idt647:0:parentLink",showEvent:"mousedown",hideEvent:"mousedown",showEffect:"blind",hideEffect:"fade",appendToBody:true});});

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