The obstacle problem for nonlinear noncoercive elliptic equations with \(L^1\)-data

DOI10.1186/s13661-019-1168-2OpenAlexW2939679730MaRDI QIDQ2108259

Leandro S. Tavares, Jun Zheng

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1168-2

zbMATH Keywords

entropy solutionobstacle problem\(L^1\)-datanoncoercive elliptic equation

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35Rxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Related Items (5)

Approximations of Lyapunov functionals for ISS analysis of a class of higher dimensional nonlinear parabolic PDEs ⋮ The obstacle problem for noncoercive elliptic equations with variable growth and \(L^1\)-data ⋮ Existence results for nonlinear degenerate elliptic equations with lower order terms ⋮ Unnamed Item ⋮ The obstacle problem for non-coercive equations with lower order term and \(L^1\)-data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
• The classical obstacle problem for nonlinear variational energies
• On the \(A\)-obstacle problem and the Hausdorff measure of its free boundary
• The obstacle problem for nonlinear elliptic equations with variable growth and \(L^{1}\)-data
• Entropy subsolutions and supersolutions for nonlinear elliptic equations in \(L^1\)
• Elliptic equations with degenerate coercivity: gradient regularity
• Linear elliptic systems involving finite Radon measures.
• Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators
• On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
• A new perspective on the Riesz potential
• Critical nonlinear Schrödinger equations with data in homogeneous weighted \(\mathbf L^2\) spaces
• Existence and large-time asymptotics for solutions of semilinear parabolic systems with measure data
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth
• Existence results for some nonuniformly elliptic equations with irregular data

This page was built for publication: The obstacle problem for nonlinear noncoercive elliptic equations with \(L^1\)-data