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arXiv · 2206.15061

Existence of two solutions for singular {\Phi}-Laplacian problems

Pasquale Candito·Umberto Guarnotta·Roberto Livrea
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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 non-monotone. The main tools employed are a local minimum theorem and the Mountain Pass theorem, together with the truncation technique. Global C^{1,{\tau}} regularity of solutions is also investigated, chiefly via a priori estimates and perturbation techniques.

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Pasquale Candito, Umberto Guarnotta, Roberto Livrea. 2022-06-30. Existence of two solutions for singular {\Phi}-Laplacian problems. https://arxiv.org/abs/2206.15061

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