Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the phi-Laplacian operator, and the reaction term can be nonmonotone. The main tools employed are the local minimum theorem and the Mountain pass theorem, together with the truncation technique. Global C-1,C- tau regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.
Existence of two solutions for singular Phi-Laplacian problems / Candito, P., Guarnotta, U., Livrea, R.. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - 22:1(2022), pp. 659-683. [10.1515/ans-2022-0037]
Existence of two solutions for singular Phi-Laplacian problems
Candito, P;
2022-01-01
Abstract
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the phi-Laplacian operator, and the reaction term can be nonmonotone. The main tools employed are the local minimum theorem and the Mountain pass theorem, together with the truncation technique. Global C-1,C- tau regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.| File | Dimensione | Formato | |
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2. Candito Guarnotta Livrea Advanced Non Anal 2022.pdf
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