We consider a Dirichlet problem driven by the anisotropic (p(z), q(z))-Laplacian, with a parametric reaction exhibiting the combined effects of singular and concave-convex nonlinearities. The superlinear term may change sign. Using variational tools together with truncation and comparison techniques, we prove a global (for the parameter ? > 0) existence and multiplicity theorem (a bifurcation-type theorem).

Papageorgiou N.S., Vetro C., Vetro F. (2023). Singular Anisotropic Problems with Competition Phenomena. THE JOURNAL OF GEOMETRIC ANALYSIS, 33(6) [10.1007/s12220-023-01227-8].

Singular Anisotropic Problems with Competition Phenomena

Vetro C.
;
2023-01-01

Abstract

We consider a Dirichlet problem driven by the anisotropic (p(z), q(z))-Laplacian, with a parametric reaction exhibiting the combined effects of singular and concave-convex nonlinearities. The superlinear term may change sign. Using variational tools together with truncation and comparison techniques, we prove a global (for the parameter ? > 0) existence and multiplicity theorem (a bifurcation-type theorem).
2023
Settore MAT/05 - Analisi Matematica
Papageorgiou N.S., Vetro C., Vetro F. (2023). Singular Anisotropic Problems with Competition Phenomena. THE JOURNAL OF GEOMETRIC ANALYSIS, 33(6) [10.1007/s12220-023-01227-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/600253
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