Search results for "Φ-Laplacian"

showing 2 items of 2 documents

On Boundary Value Problems for ϕ-Laplacian on the Semi-Infinite Interval

2017

The Dirichlet problem and the problem with functional boundary condition for ϕ-Laplacian on the semi-infinite interval are studied as well as solutions between the lower and upper functions.

Dirichlet problem010102 general mathematicsMathematical analysislower and upper functionsMixed boundary conditionMathematics::Spectral Theory01 natural sciencesRobin boundary conditionElliptic boundary value problemϕ-Laplacian010101 applied mathematicssymbols.namesakeModeling and SimulationDirichlet boundary conditionboundary value problemFree boundary problemsymbolsNeumann boundary conditionQA1-939Boundary value problem0101 mathematicsAnalysisMathematicsMathematicsMathematical Modelling and Analysis
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Existence of two solutions for singular Φ-Laplacian problems

2022

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.

singular termΦ-LaplacianSettore MAT/05 - Analisi MatematicaGeneral MathematicsSobolev-Orlicz spaceFOS: Mathematicsvariational methodsStatistical and Nonlinear Physics35J20 35J25 35J62Analysis of PDEs (math.AP)Advanced Nonlinear Studies
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