We establish a priori $L^\infty$-estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-constant solutions under suitable assumptions on the diffusion coefficient and on the nonlinearity. Moreover, we prove an existence result for radial, radially non-decreasing solutions in the case of a possible supercritical nonlinearity, extending to the case $0

Existence and non-existence results for a semilinear fractional Neumann problem / Eleonora Cinti; Francesca Colasuonno. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 30:6(2023), pp. 79.1-79.20. [10.1007/s00030-023-00886-4]

Existence and non-existence results for a semilinear fractional Neumann problem

Eleonora Cinti;Francesca Colasuonno
2023

Abstract

We establish a priori $L^\infty$-estimates for non-negative solutions of a semilinear nonlocal Neumann problem. As a consequence of these estimates, we get non-existence of non-constant solutions under suitable assumptions on the diffusion coefficient and on the nonlinearity. Moreover, we prove an existence result for radial, radially non-decreasing solutions in the case of a possible supercritical nonlinearity, extending to the case $0
2023
Existence and non-existence results for a semilinear fractional Neumann problem / Eleonora Cinti; Francesca Colasuonno. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 30:6(2023), pp. 79.1-79.20. [10.1007/s00030-023-00886-4]
Eleonora Cinti; Francesca Colasuonno
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/945613
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