Existence and uniqueness of solutions for the Lane, Emden and Fowler type problem

DOI10.1016/j.na.2009.11.014zbMath1182.35113OpenAlexW2088740489MaRDI QIDQ845003

Dragos-Patru Covei

Publication date: 5 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.014

zbMATH Keywords

existenceuniquenessentire solutionslower and upper solution method

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (4)

Existence of positive weak solutions for \((p,q)\)-Laplacian nonlinear systems ⋮ Existence results for a quasilinear elliptic problem with a gradient term via shooting method ⋮ Sufficient conditions for the existence and asymptotic behaviour of solution to a quasi-linear elliptic problem ⋮ On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On singular \(p\)-Laplacian problems
• Existence and multiplicity of positive solutions for singular quasilinear problems
• Singular elliptic problems: existence, non-existence and boundary behavior
• Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term
• The existence and non-existence of positive solutions to a singular quasilinear elliptic problem in \(\mathbb R^N\)
• Existence and asymptotic behavior of positive solution to a quasilinear elliptic problem in \(\mathbb R^N\)
• Existence and uniqueness of positive solutions to a semilinear elliptic problem in \(\mathbb{R}^N\)
• Entire positive solutions of the singular Emden-Fowler equation with nonlinear gradient term
• Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
• Invariant criteria for existence of bounded positive solutions
• Existence criteria for singular boundary value problems with sign changing nonlinearities
• Entire solution of a singular semilinear elliptic problem
• A Lane-Emden-Fowler type problem with singular nonlinearity

This page was built for publication: Existence and uniqueness of solutions for the Lane, Emden and Fowler type problem