Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II.

DOI10.1016/S0294-1449(03)00013-1zbMath1086.35041OpenAlexW4205700382MaRDI QIDQ1412656

James Serrin, Patrizia Pucci, Gazzola, Filippo, Lambertus A. Peletier

Publication date: 25 November 2003

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2003__20_6_947_0

zbMATH Keywords

\(m\)-LaplacianAsymptotic behaviorGround statesShooting methods

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60)

Related Items (6)

Asymptotic behavior of positive solutions for quasilinear elliptic equations ⋮ Asymptotic behavior of positive solutions of a Dirichlet problem involving combined nonlinearities ⋮ A nonsmooth variational approach to semipositone quasilinear problems in \(\mathbb{R}^N\) ⋮ Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. III. ⋮ Asymptotic properties of ground states of scalar field equations with a vanishing parameter ⋮ A monotone property of the ground state energy to the scalar field equation and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters
• Nonlinear scalar field equations. I: Existence of a ground state
• Proof of two conjectures of H. Brezis and L. A. Peletier
• Ground states of \(-\Delta u=f(u)\) and the Emden-Fowler equation
• Elliptic equations with nearly critical growth
• The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
• Critical growth quasilinear elliptic problems with shifting subcritical perturbation
• Existence and uniqueness of nonnegative solutions of quasilinear equations in \(\mathbb{R}^ n\)
• Uniqueness of ground states for quasilinear elliptic equations
• Quasilinear elliptic equations with nearly critical growth
• On Limits Of Solutions Of Elliptic Problems With Nearly Critical Exponent
• Existence of ground states and free boundary problems for quasilinear elliptic operators

This page was built for publication: Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters. II.