A boundary blow-up problem with a nonlocal reaction
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Publication:412757
DOI10.1016/j.na.2011.11.020zbMath1242.35127OpenAlexW2002988179MaRDI QIDQ412757
Jorge García-Melián, José C. Sabina De Lis
Publication date: 4 May 2012
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.2011.11.020
Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
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On the Keller-Osserman conjecture in one dimensional case ⋮ A nonlocal operator breaking the Keller-Osserman condition ⋮ Nonlocal and nonlinear evolution equations in perforated domains ⋮ How to break the uniqueness of \(W^{1,p}_{\mathrm {loc}}(\Omega )\)-solutions for very singular elliptic problems by non-local terms
Cites Work
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- Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights
- Keller-Osserman type conditions for some elliptic problems with gradient terms
- Local vs. non-local interactions in population dynamics
- On the inequality \(\Delta u \geqq f (u)\)
- Uniqueness of positive solutions for a boundary blow-up problem
- The blowup property of solutions to some diffusion equations with localized nonlinear reactions
- Asymptotic behavior of solutions of boundary blow-up problems
- `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Asymptotics for the blow-up boundary solution of the logistic equation with absorption.
- Uniqueness and layer analysis for boundary blow up solutions
- On solutions of δu=f(u)
- Nonlinear elliptic boundary-value problems in unbounded domains
- Positivity results for a nonlocal elliptic equation
- Thermal runaway in a non-local problem modelling Ohmic heating: Part I: Model derivation and some special cases
- Back to the Keller-Osserman Condition for Boundary Blow-up Solutions
- Regularly varying functions
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