Sub-supersolution method for a quasilinear elliptic problem involving the 1-Laplacian operator and a gradient term

DOI10.1016/j.jfa.2019.108325zbMath1435.35171OpenAlexW2976241897WikidataQ127210104 ScholiaQ127210104MaRDI QIDQ2007979

Marcos T. O. Pimenta, Giovany M. Figueiredo

Publication date: 22 November 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2019.108325

zbMATH Keywords

functions of bounded variationsub-supersolution method1-Laplacian operator

Mathematics Subject Classification ID

Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (10)

Bounded variation solution to 1-Laplacian Kirchhoff type problem in ℝ^N ⋮ 1-Laplacian type problems with strongly singular nonlinearities and gradient terms ⋮ A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator ⋮ The existence of solutions for parabolic problem with the limiting case of double phase flux ⋮ Existence of bounded solutions for a class of singular elliptic problems involving the 1-Laplacian operator ⋮ Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator ⋮ On 1-Laplacian elliptic problems involving a singular term and an \(L^1\)-data ⋮ On some weighted 1-Laplacian problem on \(\mathbb{R}^N\) with singular behavior at the origin ⋮ Properties of the 1-polyharmonic operator in the whole space and applications to nonlinear elliptic equations ⋮ Multiple ordered solutions for a class of problems involving the 1-Laplacian operator

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