Existence of bounded solutions of some degenerate quasilinear elliptic equations

DOI10.1080/03605308708820505zbMath0627.47035OpenAlexW2078703251MaRDI QIDQ3763144

Jean Michel Rakotoson

Publication date: 1987

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308708820505

zbMATH Keywords

a priori estimatesDirichlet problemselliptic systemsnonlinear equationselliptic inequalitiesdegenerate quasilinear elliptic equationsrelative rearrangement

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Perturbation theory of linear operators (47A55) Applications to the sciences (65Z05)

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Cites Work

• Unnamed Item
• An integral formula for total gradient variation
• The asymptotic profile of solutions of degenerate diffusion equations
• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• Quelques résultats de Višik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder