Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ-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,τ) regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.
Candito P., Guarnotta U., Livrea R. (2022). Existence of two solutions for singular φ-Laplacian problems. ADVANCED NONLINEAR STUDIES, 22(1), 659-683 [10.1515/ans-2022-0037].
Existence of two solutions for singular φ-Laplacian problems
Guarnotta U.
;Livrea R.
2022-01-01
Abstract
Existence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by the Φ-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,τ) regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.
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