Cutrí, Liouville theorems for semilinear equations on the Heisenberg group, Ann. 10.1512/iumj.195 Search in Google Scholar Lanconelli, Existence and non existence results for semilinear equations on the Heisenberg group, Indiana Univ. Shi, Existence of a positive solution to Kirchhoff type problems without compactness conditions, J. The authors would like to thank the anonymous referees for their thorough reading and insightful comments.įunding information: This research was supported by NNSF (11971061, 12271028), BNSF (1222017), and the Fundamental Research Funds for the Central Universities.Īuthor contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.Ĭonflict of interest: The authors state no conflicts of interest.ĭata availability statement: No additional data are available. In the sequel, C denotes a constant, which may vary from line to line but is independent of the terms that will take part in any limit processing. In, Pohozaev and Véron found a critical exponent for the following non-linear diffusion equation with the Kohn-Laplacian on Heisenberg group: An important aspect most directly related to the present work is the fine analysis of blow-up solutions of the fully nonlinear elliptic equations. Recently, Jleli and Samet established new blow-up results for a higher-order evolution inequality involving a convection term in an exterior domain of R n. To motivate our results, we recall that in the classical Riemannian setting, Jleli and Samet considered the Cauchy problems for nonlinear Sobolev-type equations with potentials defined on complete noncompact Riemannian manifolds. If 0 2 while being globally well posed for p > 2 N, causing to call this critical exponent “the critical exponent of Fujita” or just “Fujita’s exponent.”
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |