Elliptic Obstacle Problems With Natural Growth on the Gradient and Singular Nonlinear Term

DOI10.1515/ans-2007-0206zbMath1189.35136OpenAlexW2509561651MaRDI QIDQ5437309

José Carmona, David Arcoya, Pedro J. Martínez-Aparicio

Publication date: 18 January 2008

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2007-0206

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Nonlinear elliptic inclusions with unilateral constraint and dependence on the gradient, A singular elliptic equation with natural growth in the gradient and a variable exponent, Uniqueness of solutions for some elliptic equations with a quadratic gradient term, Semilinear elliptic variational inequalities with dependence on the gradient via mountain pass techniques, Stability for semilinear elliptic variational inequalities depending on the gradient, Singular quasilinear equations with quadratic growth in the gradient without sign condition, Existence and nonexistence of solutions for singular quadratic quasilinear equations, Existence and regularity of solutions for unbounded elliptic equations with singular nonlinearities

Cites Work

• A regularity theory for a general class of quasilinear elliptic partial differential equations and obstacle problems
• Existence of bounded solutions for non linear elliptic unilateral problems