Asymptotic behavior of positive solutions of a singular nonlinear Dirichlet problem
From MaRDI portal
Publication:984729
DOI10.1016/j.jmaa.2010.04.008zbMath1196.35109OpenAlexW1979671283MaRDI QIDQ984729
Sabrine Gontara, Syrine Masmoudi, Sameh Turki, Habib Maagli
Publication date: 20 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.008
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)
Related Items
Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ 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 ⋮ Asymptotic behavior of ground state solutions of some combined nonlinear problems ⋮ Asymptotic behaviour of ground state solutions of a non-linear dirichlet problem ⋮ Exact boundary behavior of the unique positive solution to some singular elliptic problems ⋮ The boundary behavior of the unique solution to a singular Dirichlet problem ⋮ The exact boundary behavior of solutions to singular nonlinear Lane-Emden-Fowler type boundary value problems ⋮ Asymptotic behavior of positive solutions of a semilinear polyharmonic problem in the unit ball ⋮ The Dirichlet problem for a 3D elliptic equation with two singular coefficients ⋮ Combined effects in singular elliptic problems in punctured domain ⋮ Second order expansion for the solution to a singular Dirichlet problem ⋮ The second expansion of the unique vanishing at infinity solution to a singular elliptic equation ⋮ Asymptotic behavior of positive solutions of a semilinear Dirichlet problem ⋮ Asymptotic behavior of positive solutions of a nonlinear Dirichlet problem ⋮ The second expansion of the solution for a singular elliptic boundary value problem ⋮ Existence and uniqueness of positive solution for a fractional Dirichlet problem with combined nonlinear effects in bounded domains ⋮ The exact boundary behavior of the unique solution to a singular Dirichlet problem with a nonlinear convection term ⋮ Unnamed Item ⋮ Optimal global asymptotic behaviour of the solution to a class of singular Dirichlet problems ⋮ Asymptotic behavior for the unique positive solution to a singular elliptic problem ⋮ 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new Kato class and singular solutions of a nonlinear elliptic equation in bounded domains of \(\mathbb{R}^n\)
- Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
- An extreme variation phenomenon for some nonlinear elliptic problems with boundary blow-up
- Uniqueness of the blow-up boundary solution of logistic equations with absorbtion.
- Positive solutions for a singular nonlinear problem on a bounded domain in \(\mathbb R^2\)
- Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
- Extremal singular solutions for degenerate logistic-type equations in anisotropic media
- Regular variation and differential equations
- The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation
- EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- On a dirichlet problem with a singular nonlinearity