Existence of two solutions for singular {\Phi}-Laplacian problems
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2022
- DOI:
- arXiv:
- arXiv:2206.15061
- Bibcode:
- 2022arXiv220615061C
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35J20;
- 35J25;
- 35J62