Dependence of blowup rate of large solutions of semilinear elliptic equations, on the curvature of the boundary

By Catherine Bandle, M. Marcus. 2004

59 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/872c69dac4bd09dad121d86ad17e834816abedd3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Vicentiu D. Rădulescu
2. Dušan D. Repovš
3. Zhijun Zhang
4. Anouar Bahrouni
5. Marius Ghergu
6. V. Ruadulescu
7. K. Kefi
8. Binlin Zhang

In Computational Theory and Mathematics

1. Vicentiu D. Rădulescu
2. Dušan D. Repovš
3. Zhijun Zhang
4. Anouar Bahrouni
5. V. Ruadulescu
6. Marius Ghergu
7. Binlin Zhang
8. Nikolaos S. Papageorgiou

In Numerical Analysis

1. Vicentiu D. Rădulescu
2. Dušan D. Repovš
3. Anouar Bahrouni
4. Binlin Zhang
5. V. Ruadulescu

Citations in the corpus

• Singular phenomena in nonlinear elliptic problems. From blow-up boundary solutions to equations with singular nonlinearities (2006, background): “Nonlinear elliptic equation, singularity, boundary blow-up, bifurcation, asymptotic anal- ysis, maximum principle, Karamata regular variation theory.”
• Large solutions to elliptic equations involving fractional Laplacian (2013, unknown): “−∆u(x) + h(x, u) = f(x), x ∈ Ω, limx∈Ω, x→∂Ω u(x) = +∞ has been extensively studied, see [1, 2, 3, 10, 11, 12, 13, 19, 24, 25, 26, 29].”