Asymptotic behavior of positive solutions of a semilinear Dirichlet problem
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Publication:531689
DOI10.1016/J.NA.2011.01.011zbMath1213.31006OpenAlexW1993660266MaRDI QIDQ531689
Publication date: 19 April 2011
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.2011.01.011
Green's functions for ordinary differential equations (34B27) Potentials and capacities on other spaces (31C15) Second-order parabolic equations (35K10)
Related Items (24)
Existence of positive weak solutions for a nonlocal singular elliptic system ⋮ Existence and global asymptotic behavior of singular positive solutions for radial Laplacian ⋮ Nonnegative solutions for a class of semipositone nonlinear elliptic equations in bounded domains of R^{n} ⋮ Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn ⋮ Asymptotic behavior of positive solutions of a semilinear Dirichlet problem in the annulus ⋮ Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in \(\mathbb{R}^n\backslash\{0\}\) ⋮ Asymptotic behavior of ground state solutions of some combined nonlinear problems ⋮ Asymptotic behaviour of ground state solutions of a non-linear dirichlet problem ⋮ Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions ⋮ Existence and global asymptotic behavior of positive solutions for nonlinear problems on the half-line ⋮ Asymptotic behavior of ground state radial solutions for problems involving the \(\Phi \)-Laplacian ⋮ Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball ⋮ Combined effects in singular elliptic problems in punctured domain ⋮ Singular solutions of a nonlinear equation in a punctured domain of \(\mathbb{R}^{2}\) ⋮ Asymptotic behavior of positive solutions of a nonlinear Dirichlet problem ⋮ Existence and uniqueness of positive solution for a fractional Dirichlet problem with combined nonlinear effects in bounded domains ⋮ Existence and global behavior of positive solution for semilinear problems with boundary blow-up ⋮ Existence and asymptotic behavior of positive solutions of a semilinear elliptic system in a bounded domain ⋮ Unnamed Item ⋮ Elliptic bifurcation problems that are singular in the dependent and in the independent variables ⋮ Unnamed Item ⋮ A semilinear singular problem for the fractional Laplacian ⋮ Positive solutions of semilinear problems in an exterior domain of \(\mathbb{R}^2\) ⋮ Exact behavior of the unique positive solution to some singular elliptic problem in exterior domains
Cites Work
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- Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem
- Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
- Sublinear elliptic equations in \(\mathbb{R}{}^ n\)
- Extremal singular solutions for degenerate logistic-type equations in anisotropic media
- Slowly varying functions and asymptotic relations
- The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- Remarks on sublinear elliptic equations
- On a dirichlet problem with a singular nonlinearity
- Existence and estimates of solutions for singular nonlinear elliptic problems
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