Existence of nonnegative solutions to singular elliptic problems, a variational approach

DOI10.3934/dcds.2018062zbMath1401.35110OpenAlexW2778153504MaRDI QIDQ1661015

Tomas Godoy, Alfredo Guerin

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018062

zbMATH Keywords

positive solutionsnonnegative solutionsvariational problemssingular elliptic problems

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Singular elliptic equations (35J75)

Related Items

Elliptic problems with singular nonlinearities of indefinite sign ⋮ Comparison principle for elliptic equations with mixed singular nonlinearities ⋮ Spreading equilibria under mildly singular potentials: pancakes versus droplets ⋮ Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains ⋮ The Dirichlet problem for possibly singular elliptic equations with degenerate coercivity ⋮ Elliptic bifurcation problems that are singular in the dependent and in the independent variables ⋮ Unnamed Item ⋮ Multiple finite-energy positive weak solutions to singular elliptic problems with a parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear elliptic equations with singular reaction
• Existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent
• Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls
• Lane-Emden-Fowler equations with convection and singular potential
• Positive versus free boundary solutions to a singular elliptic equation
• Functional analysis, Sobolev spaces and partial differential equations
• Existence of mild solutions for a singular parabolic equation and stabilization
• Nonlinear elliptic equations with singular terms and combined nonlinearities
• Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type
• On a singular nonlinear dirichlet problem
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• Existence and regularity of weak solutions for singular elliptic equations
• An elliptic equation with singular nonlinearity
• A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
• A global estimate for the gradient in a singular elliptic boundary value problem
• On a dirichlet problem with a singular nonlinearity
• On a singular nonlinear semilinear elliptic problem
• Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term