We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (Formula presented.) -equation) with a singular and (Formula presented.) -superlinear reaction and a Robin boundary condition with (Formula presented.) -sublinear boundary term (Formula presented.). So, the problem has the combined effects of singular, concave and convex terms. We look for positive solutions and prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.
Papageorgiou N.S., Vetro C., Vetro F. (2022). Singular (p, q)-equations with superlinear reaction and concave boundary condition. APPLICABLE ANALYSIS, 101(3), 891-913 [10.1080/00036811.2020.1761018].
Singular (p, q)-equations with superlinear reaction and concave boundary condition
Vetro C.;
2022-01-01
Abstract
We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (Formula presented.) -equation) with a singular and (Formula presented.) -superlinear reaction and a Robin boundary condition with (Formula presented.) -sublinear boundary term (Formula presented.). So, the problem has the combined effects of singular, concave and convex terms. We look for positive solutions and prove a bifurcation-type theorem describing the changes in the set of positive solutions as the parameter varies.File | Dimensione | Formato | |
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