THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameter - Sobolev inequality - Document - PDFSEARCH.IO

First Page	Meta Content
	THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameter Add to Reading List Document Date: 2014-08-14 13:36:16 Open Document File Size: 495,95 KB Share Result on Facebook Company As / / IndustryTerm energy solution / smallest solution / minimal solution / bounded positive solution / extremal solutions / classical solutions / minimal solutions / energy solutions / explicit unbounded solution / important tool / singular solution / minimal classical solution / semistable solution / extremal solution / singular extremal solutions / energy class / classical solution / energy / / SocialTag Differential operators Sobolev spaces Partial differential equations Spectral theory Fourier analysis Ordinal number Constructible universe Sobolev inequality Laplace operator Mathematical analysis

THE EXTREMAL SOLUTION FOR THE FRACTIONAL LAPLACIAN XAVIER ROS-OTON AND JOAQUIM SERRA Abstract. We study the extremal solution for the problem (−∆)s u = λf (u) in Ω, u ≡ 0 in Rn \ Ω, where λ > 0 is a parameterAdd to Reading List