We study the existence and uniqueness of bounded weak solutions to a fractional sublinear elliptic equation with a variable coefficient, in the whole space. Existence is investigated in connection to a certain fractional linear equation, whereas the proof of uniqueness relies on uniqueness of weak solutions to an associated fractional porous medium equation with variable density.

On a fractional sublinear elliptic equation with a variable coefficient / F. Punzo, G. Terrone. - In: APPLICABLE ANALYSIS. - ISSN 0003-6811. - 94:4(2015), pp. 800-818.

On a fractional sublinear elliptic equation with a variable coefficient

F. Punzo
Primo
;
2015

Abstract

We study the existence and uniqueness of bounded weak solutions to a fractional sublinear elliptic equation with a variable coefficient, in the whole space. Existence is investigated in connection to a certain fractional linear equation, whereas the proof of uniqueness relies on uniqueness of weak solutions to an associated fractional porous medium equation with variable density.
fractional Laplacian; sublinear elliptic equations; Riesz potential; well-posedness; porous medium equation
Settore MAT/05 - Analisi Matematica
2015
Article (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/254294
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 4
social impact