Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains

Alves, Claudianor O.2021-05-182021-05-182005-01-30Alves, C. O. (2005). Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains. <i>Electronic Journal of Differential Equations, 2005</i>(13), pp. 1-13.1072-6691https://hdl.handle.net/10877/13584In this paper we study the existence of positive solutions for the problem -Δpup*-1 in Ω and u = 0 on ∂Ω where Ω is a perturbed annular domain (see definition in the introduction) and N > p ≥ 2. To prove our main results, we use the Concentration-Compactness Principle and variational techniques.Text13 pages1 file (.pdf)enAttribution 4.0 Internationalp-Laplacian operatorCritical exponentsDeformation lemmaPositive solutions to quasilinear equations involving critical exponent on perturbed annular domainsArticle