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RESEARCH PRODUCT
Existence of two solutions for singular Φ-Laplacian problems
Pasquale CanditoUmberto GuarnottaRoberto Livreasubject
singular termΦ-LaplacianSettore MAT/05 - Analisi MatematicaGeneral MathematicsSobolev-Orlicz spaceFOS: Mathematicsvariational methodsStatistical and Nonlinear Physics35J20 35J25 35J62Analysis of PDEs (math.AP)description
AbstractExistence of two solutions to a parametric singular quasi-linear elliptic problem is proved. The equation is driven by theΦ\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. GlobalC1,τ{C}^{1,\tau }regularity of solutions is also investigated, chiefly viaa prioriestimates and perturbation techniques.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 | Advanced Nonlinear Studies |