Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions

DOI10.7494/opmath.2023.43.1.19zbMath1514.35215OpenAlexW4313411857MaRDI QIDQ6043471

Tomas Godoy

Publication date: 23 May 2023

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2023.43.1.19

zbMATH Keywords

mixed boundary conditionsexistence and uniquenesssingular elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• Nonlinear elliptic equations with singular reaction
• Existence of solutions to a class of semilinear elliptic problem with nonlinear singular terms and variable exponent
• Existence of weak solutions to a class of singular elliptic equations
• Asymptotic behavior of positive solutions of a semilinear Dirichlet problem
• On singular \(p\)-Laplacian problems
• On very weak positive solutions to some semilinear elliptic problems with simultaneous singular nonlinear and spatial dependence terms
• On the structure of positive solutions to an elliptic problem arising in thin film equations
• Lane-Emden-Fowler equations with convection and singular potential
• Functional analysis, Sobolev spaces and partial differential equations
• Bifurcation and asymptotics for the Lane--Emden--Fowler equation.
• Elliptic partial differential equations of second order
• Existence of mild solutions for a singular parabolic equation and stabilization
• Finite and infinite energy solutions of singular elliptic problems: existence and uniqueness
• Nonlinear elliptic equations with singular terms and combined nonlinearities
• The role of the power 3 for elliptic equations with negative exponents
• Partial differential equations in action. From modelling to theory
• Properties of positive solutions to an elliptic equation with negative exponent
• Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type
• The asymptotic behaviour of the unique solution for the singular Lane-Emden-Fowler equation
• On a singular nonlinear dirichlet problem
• Nonlinear PDEs
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• A variational approach to singular quasilinear elliptic problems with sign changing nonlinearities
• Existence and regularity of weak solutions for singular elliptic equations
• The sub-supersolution method for weak solutions
• 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
• A generalized Emden-Fowler equation with a negative exponent
• Singular solutions of a nonlinear elliptic equation in a punctured domain
• Nonlinear Analysis - Theory and Methods
• Strong solutions for singular Dirichlet elliptic problems
• Positive weak solutions of elliptic Dirichlet problems with singularities in both the dependent and the independent variables
• A strong comparison principle for positive solutions of degenerate elliptic equations