Existence of solutions for a critical fractional Kirchhoff type problem in ℝN
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-015-0792-2
Abstract: This paper concerns with the existence of solutions for the following fractional Kirchhoff problem with critical nonlinearity: $${\left( {\int {\int {_{{\mathbb{R}^{2N}}}\frac{{{{\left| {u\left( x \right) - u\left( y \right)} \right|}^2}}}{{{{\left| {x - y} \right|}^{N + 2s}}}}dxdy}… read more here.
Keywords: left right; solutions critical; fractional kirchhoff; problem ... See more keywords
Construction of solutions of the critical SQG equation in bounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.05.034
Abstract: Abstract We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We construct global bounded interior Lipschitz solutions from arbitrary large bounded interior Lipschitz initial data. read more here.
Keywords: sqg equation; equation bounded; construction solutions; bounded domains ... See more keywords