Asymptotic behavior of minimal solutions of \(-\Delta u=\lambda f(u)\) as \(\lambda\to-\infty\)
DOI10.3934/dcds.2020293zbMath1467.35171arXiv1911.03152OpenAlexW3047188580MaRDI QIDQ2229365
Massimo Grossi, Francesca Gladiali, Luca Battaglia
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.03152
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Cites Work
- Unnamed Item
- On the inequality \(\Delta u \geqq f (u)\)
- Symmetry and related properties via the maximum principle
- Asymptotic estimates for the plasma problem
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
- Qualitative properties of solutions to elliptic singular problems
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Construction of singular limits for a semilinear elliptic equation in dimension 2
- On the existence of blowing-up solutions for a mean field equation
- Existence and uniqueness results for large solutions of general nonlinear elliptic equations
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Quasilinear Dirichlet problems driven by positive sources
- Some Results for the Gelfand's Problem
- On solutions of δu=f(u)
- Qualitative Behavior and Bounds in a Nonlinear Plasma Problem
- Sur les états d'équilibre pour les densités électroniques dans les plasmas
- On a free boundary problem arising in plasma physics
- Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
- Remarks on a free Boundary Value Problem Arising in Plasma Physics
- On a dirichlet problem with a singular nonlinearity
- On the boundary values of solutions of a problem arising in plasma physics
- The study of a bifurcation problem associated to an asymptotically linear function
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
This page was built for publication: Asymptotic behavior of minimal solutions of \(-\Delta u=\lambda f(u)\) as \(\lambda\to-\infty\)