Large versus bounded solutions to sublinear elliptic problems

• Autorzy: Damek Ewa , Ghardallou Zeineb

Identyfikatory

DOI

10.4064/ba8180-12-2018

• Języki publikacji: EN

Abstrakty

EN

Let L be a second order elliptic operator with smooth coefficients defined on a domain Ω ⸦ R^d (possibly unbounded), d ≥ 3. We study nonnegative continuous solutions u to the equation Lu(x) - φ (x, u(x)) = 0 on Ω, where φ is in the Kato class with respect to the first variable and it grows sublinearly with respect to the second variable. Under fairly general assumptions we prove that if there is a bounded nonzero solution then there is no large solution.

Słowa kluczowe

EN

sublinear elliptic problems; Greenian domain; large solutions; bounded solutions; Green potentials; Kato class

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2019
• Tom: Vol. 67, no. 1
• Strony: 69--82
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Damek Ewa

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Ghardallou Zeineb

• Department of Mathematical, Analysis and Applications, University Tunis El Manar, LR11ES11, 2092 El Manar 1, Tunis, Tunisia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).