On ground state solutions for singular and semi-linear problems including super-linear terms at infinity

DOI10.1016/j.na.2009.05.050zbMath1178.35169OpenAlexW2005502129MaRDI QIDQ1044475

Carlos Alberto Santos

Publication date: 18 December 2009

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.2009.05.050

zbMATH Keywords

asymptotic behaviorentire solutionsground state solutionssub-linear super-linear terms

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (13)

On the existence and asymptotic behaviour of bounded positive entire solutions for quasilinear elliptic problems ⋮ Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn ⋮ Asymptotic behavior of ground state radial solutions for \(p\)-Laplacian problems ⋮ Asymptotic behavior of ground state solutions of some combined nonlinear problems ⋮ Positive solutions for a mixed and singular quasilinear problem ⋮ Asymptotic behaviour of ground state solutions of a non-linear dirichlet problem ⋮ Existence and nonexistence of positive solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ Non-existence and existence of entire solutions for a quasi-linear problem with singular and super-linear terms ⋮ Ground state solutions for a semilinear elliptic problem with a convection term ⋮ A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms ⋮ Entire solutions for a quasilinear problem in the presence of sublinear and super-linear terms ⋮ A singular boundary value problem for a degenerate elliptic PDE

Cites Work

• Unnamed Item
• Boundary blow-up elliptic problems of Bieberbach and Rademacher type with nonlinear gradient terms
• Regularity for a class of nonlinear elliptic systems
• Existence and uniqueness of positive solutions to a semilinear elliptic problem in \(\mathbb{R}^N\)
• Classical and weak solutions of a singular semilinear elliptic problem
• A remark on the existence of entire solutions of a singular semilinear elliptic problem
• Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
• Existence and asymptotic behavior of non-radially symmetric ground states of semilinear singular elliptic equations
• Index boundedness condition for mappings with bounded distortion
• Existence of entire solutions of a singular semilinear elliptic problem
• On the propagation properties of a nonlinear degenerate parabolic equation
• On the equation of turbulent filtration in one- dimensional porous media
• On Existence of L^∞-Ground States for Singular Elliptic Equations in the Presence of a Strongly Nonlinear Term

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