We investigate the existence of positive solutions for a class of Minkowski-curvature equations with indefinite weight and nonlinear term having superlinear growth at zero and super-exponential growth at. infinity. As an example, for the equation(u'/root 1+(u')(2)) + a(t)(e(up) - 1) = 0,where p > 1 and a(t) is a sign-changing function satisfying the mean-value condition integral(T)(0) a(t)dt < 0, we prove the existence of a positive solution for both periodic and Neumann boundary conditions. The proof relies on a topological degree technique.
Positive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearity
Boscaggin, A;Feltrin, G;Zanolin, F
2023-01-01
Abstract
We investigate the existence of positive solutions for a class of Minkowski-curvature equations with indefinite weight and nonlinear term having superlinear growth at zero and super-exponential growth at. infinity. As an example, for the equation(u'/root 1+(u')(2)) + a(t)(e(up) - 1) = 0,where p > 1 and a(t) is a sign-changing function satisfying the mean-value condition integral(T)(0) a(t)dt < 0, we prove the existence of a positive solution for both periodic and Neumann boundary conditions. The proof relies on a topological degree technique.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
23BosFelZanCCM.pdf
Accesso riservato
Tipo di file:
PDF EDITORIALE
Dimensione
524.35 kB
Formato
Adobe PDF
|
524.35 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.