For the fully nonlinear stationary logistic equation F(x,D(2)u)+mu u=k(x)u(p )with p>1 and k(x) >= 0 , in a bounded domain with Dirichlet boundary condition, we determine, in terms of mu , the existence and uniqueness or the nonexistence of a positive solution. Furthermore, we study the asymptotic behavior of the solutions when mu approaches the boundary points of the existence range.
Fully nonlinear logistic equations with sanctuary / Birindelli, I., Galise, G., Leoni, F.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 1432-0835. - 65:9(2026). [10.1007/s00526-026-03424-z]
Fully nonlinear logistic equations with sanctuary
Birindelli I.
;Galise G.;Leoni F.
2026
Abstract
For the fully nonlinear stationary logistic equation F(x,D(2)u)+mu u=k(x)u(p )with p>1 and k(x) >= 0 , in a bounded domain with Dirichlet boundary condition, we determine, in terms of mu , the existence and uniqueness or the nonexistence of a positive solution. Furthermore, we study the asymptotic behavior of the solutions when mu approaches the boundary points of the existence range.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Birindelli_ Fully-nonlinear-logistic_2026.pdf
accesso aperto
Note: articolo
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Creative commons
Dimensione
402.57 kB
Formato
Adobe PDF
|
402.57 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
