On the Existence of a Non-trivial Non-negative Global Radial Weak Solution to a Fractional Laplacian Problem with a Singular Potential

• Autorzy: Bayrami M. , Hesaaraki M.

Identyfikatory

DOI

10.4064/ba8070-9-2016

• Języki publikacji: EN

Abstrakty

EN

We prove the existence of a non-trivial non-negative radial weak solution to the problem [wzór]. Here N > 2α, α ∈ (1/2,1), 1 < r < p < [wzór] and μ ∈ R. We also assume that b > 0 and 0 < λ < [wzór].

Słowa kluczowe

EN

fractional Laplacian; Hardy-type potentials; global solutions

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2016
• Tom: Vol. 64, no. 2/3
• Strony: 175--183
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Bayrami M.

• Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran

autor

Hesaaraki M.

• Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11365-9415, Tehran, Iran

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.