Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary

DOI10.1007/s11425-014-4795-1zbMath1310.35095OpenAlexW2011337786MaRDI QIDQ477259

Feng-Quan Li

Publication date: 3 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4795-1

zbMATH Keywords

regularityexistence and uniquenessnonlinear elliptic systemsdistance to the boundaryvery weak solutionsintegrable data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Second-order elliptic systems (35J47)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A few natural extensions of the regularity of a very weak solution.
• On very weak positive solutions to some semilinear elliptic problems with simultaneous singular nonlinear and spatial dependence terms
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Regularity of a very weak solution for parabolic equations and applications
• Nonlinear elliptic and parabolic equations involving measure data
• On very weak solutions of semi-linear elliptic equations in the framework of weighted spaces with respect to the distance to the boundary
• Existence of solutions for degenerate quasilinear elliptic equations
• Quasilinear elliptic problems with measures as data
• Non-homogeneous boundary value conditions for elliptic problems with measure valued right hand side
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• On the differentiability of very weak solutions with right-hand side data integrable with respect to the distance to the boundary
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Existence of bounded solutions of some degenerate quasilinear elliptic equations
• Nonlinear Elliptic Equations with Right Hand Side Measures
• On some degenerate and nondegenerate quasilinear elliptic systems with nonhomogeneous Dirichlet boundary condition
• An elliptic semilinear equation with source term involving boundary measures: the subcritical case

This page was built for publication: Some nonlinear elliptic systems with right-hand side integrable data with respect to the distance to the boundary