On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior

From MaRDI portal
Publication:1194070

DOI10.1007/BF00387895zbMath0764.35013OpenAlexW2081116665MaRDI QIDQ1194070

Yi Li, Wei-Ming Ni

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00387895




Related Items (35)

Uniqueness and nondegeneracy of positive radial solutions of \(\operatorname{div}(\rho\nabla u)+\rho (-gu+hu^p)=0\)On the structure of positive radial solutions to an equation containing a \(p\)-Laplacian with weightSymmetric positive entire solutions of second-order quasilinear degenerate elliptic equationsAsymptotic behavior of positive solutions for quasilinear elliptic equationsLarge number of fast decay ground states to Matukuma-type equationsOscillatory radial solutions of semilinear elliptic equationsMultiple positive solutions for an inhomogeneous semilinear problem in exterior domainsFast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentialsOn integral equations of Matukuma typeExistence and nonexistence of positive radial solutions of an elliptic Dirichlet problem in an exterior domainAre solutions of almost radial nonlinear elliptic equations almost radial?ON THE UNIQUENESS OF POSITIVE SOLUTIONS OF A QUASILINEAR EQUATION CONTAINING A WEIGHTED p-LAPLACIAN, THE SUPERLINEAR CASESeparation structure of positive radial solutions of a semilinear elliptic equation in \(\mathbf R^n\)A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\)Radial symmetry of large solutions of nonlinear elliptic equationsEXPONENTIAL DECAY OF THE SOLUTIONS FOR NONLINEAR BIHARMONIC EQUATIONSAsymptotics at infinity of solutions for \(p\)-Laplace equations in exterior domainsAsymptotic behavior of positive solutions of the Hénon equationThe radial positive solutions of the Matukuma equation in higher dimensional space: singular solutionRadial oscillatory solutions of some quasi-linear elliptic equationsThe positive solutions of the Matukuma equation and the problem of finite radius and finite massGlobal structure of positive solutions to equations of Matukuma typeDecaying solutions of elliptic systems in \(\mathbb{R}^ n\)Cauchy problem of semilinear inhomogeneous elliptic equations of Matukuma-type with multiple growth termsOn the complex structure of positive solutions to Matukuma-type equationsSeparation property of solutions for a semilinear elliptic equationOn the solution structures of the semilinear elliptic equations on ℝnA nonoscillation theorem for Emden--Fowler equations.Radial symmetry of positive solutions of nonlinear elliptic equations in RnRotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometryOn a class of semilinear elliptic equations in \(\mathbb{R}^n\)On the existence of multiple positive solutions for a semilinear problem in exterior domainsOn the positive solutions of the Matukuma equationAsymptotic behavior of positive solutions of the equation complete riemannian manifold and positive scalar curvatureSymmetry and stability of non-negative solutions to degenerate elliptic equations in a ball



Cites Work


This page was built for publication: On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in \({\mathbb{R}{}}^ n\). I: Asymptotic behavior