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 C1, τ regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.
Existence of two solutions for singular φ-Laplacian problems
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 C1, τ regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.File in questo prodotto:
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