0000000000916376

AUTHOR

Umberto Guarnotta

showing 4 related works from this author

Some recent results on a singular p-laplacian equations

2022

Abstract A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.

singular termMathematics - Analysis of PDEsSettore MAT/05 - Analisi Matematicaquasi-linear elliptic equation gradient dependence singular term entire solution strong solution35-02 35J62 35J75 35J92General Mathematicsgradient dependencestrong solutionFOS: Mathematicsentire solutionquasi-linear elliptic equationAnalysis of PDEs (math.AP)
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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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EXISTENCE RESULTS FOR SINGULAR CONVECTIVE ELLIPTIC PROBLEMS

2021

singular problemSettore MAT/05 - Analisi Matematicaconvection termentire solutions
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Some recent results on singular $ p $-Laplacian systems

2022

Some recent existence, multiplicity, and uniqueness results for singular p-Laplacian systems either in bounded domains or in the whole space are presented, with a special attention to the case of convective reactions. A extensive bibliography is also provided.

singular termMathematics - Analysis of PDEsQuasi-linear elliptic system gradient dependence singular term entire solution strong solution.Settore MAT/05 - Analisi Matematica35-02 35J62 35J75 35J92gradient dependencestrong solutionFOS: Mathematicsentire solutionQuasi-linear elliptic systemAnalysis of PDEs (math.AP)
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