Lane-Emden-Fowler equations with convection and singular potential
From MaRDI portal
Publication:996854
DOI10.1016/j.matpur.2007.03.002zbMath1122.35034OpenAlexW2037011705MaRDI QIDQ996854
Vicenţiu D. Rădulescu, Marius Ghergu, Louis Dupaigne
Publication date: 19 July 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2007.03.002
Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Bifurcation theory for PDEs on manifolds (58J55)
Related Items (57)
Two positive solutions for quasilinear elliptic equations with singularity and critical exponents ⋮ Existence of positive weak solutions for a nonlocal singular elliptic system ⋮ Liouville-type theorems and existence of solutions for quasilinear elliptic equations with nonlinear gradient terms ⋮ Elliptic problems with singular nonlinearities of indefinite sign ⋮ Existence of nonnegative solutions to singular elliptic problems, a variational approach ⋮ Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition ⋮ Existence and blow-up rate of large solutions of \(p(x)\)-Laplacian equations with gradient terms ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems ⋮ Existence and regularity of nonnegative solution of a singular quasi-linear anisotropic elliptic boundary value problem with gradient terms ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ On Dirichlet problem for fractional \(p\)-Laplacian with singular non-linearity ⋮ Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions ⋮ On a defocusing quasilinear Schrödinger equation with singular term ⋮ Existence results for elliptic problems with gradient terms via a priori estimates ⋮ Nontrivial solutions of second-order singular Dirichlet systems ⋮ The sub-supersolution method for variable exponent double phase systems with nonlinear boundary conditions ⋮ Bifurcation and asymptotical behavior for singular elliptic equation with a linear convection term ⋮ Global multiplicity of solutions to a defocusing quasilinear Schrödinger equation with the singular term ⋮ Singular elliptic problems with unbalanced growth and critical exponent ⋮ Generalized yamabe equations on riemannian manifolds and applications to Emden-Fowler problems ⋮ An approach to elliptic equations with nonlinear gradient terms via a modulation framework ⋮ Existence results for a quasilinear elliptic problem with a gradient term via shooting method ⋮ Elliptic system with some singular nonlinearity ⋮ Existence and nonexistence of solutions for p(x)-curl systems arising in electromagnetism ⋮ Preface: Professor Vicenţiu Rǎdulescu celebrates his sixtieth anniversary ⋮ Existence of solutions for quasilinear Dirichlet problems with gradient terms ⋮ Positive solution to extremal Pucci's equations with singular and gradient nonlinearity ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Non-radial solutions of a supercritical equation in expanding domains: the limit case ⋮ The second expansion of the unique vanishing at infinity solution to a singular elliptic equation ⋮ Global multiplicity of solutions for a modified elliptic problem with singular terms * ⋮ Existence and symmetry for elliptic equations in \(\mathbb{R}^{n}\) with arbitrary growth in the gradient ⋮ Positive solutions for nonlinear singular elliptic equations of \(p\)-Laplacian type with dependence on the gradient ⋮ Boundary behaviour for solutions of elliptic singular equations with a gradient term ⋮ Pointwise estimates of solutions to semilinear elliptic equations and inequalities ⋮ Positive solutions for a singular and superlinear \(p\)-Laplacian problem with gradient term ⋮ Lane-Emden systems with negative exponents ⋮ On a quasilinear elliptic problem with convection term and nonlinear boundary condition ⋮ Anisotropic problem with singular nonlinearity ⋮ The group classification of Lane-Emden systems ⋮ Anisotropic system with singular and regular nonlinearities ⋮ Existence and uniqueness results for double phase problems with convection term ⋮ On the global solutions to a class of strongly degenerate parabolic equations ⋮ Elliptic bifurcation problems that are singular in the dependent and in the independent variables ⋮ Large time behavior of solutions to degenerate parabolic equations with weights ⋮ Multiple positive solutions to a singular boundary value problem for a superlinear Emden-Fowler equation ⋮ Bifurcation analysis for a modified quasilinear equation with negative exponent ⋮ Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness ⋮ Continuity results for parametric nonlinear singular Dirichlet problems ⋮ A singular eigenvalue problem for the Dirichlet \((p, q)\)-Laplacian ⋮ Existence results and a priori estimates for solutions of quasilinear problems with gradient terms ⋮ Existence and nonexistence of ground state solutions for elliptic equations with a convection term ⋮ Multiple finite-energy positive weak solutions to singular elliptic problems with a parameter ⋮ Unnamed Item ⋮ Existence of solution for \(p\)-Laplacian boundary value problems with two singular and subcritical nonlinearities
Cites Work
- Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term
- Minimal surfaces with isolated singularities
- Sublinear singular elliptic problems with two parameters.
- On the linearization of some singular, nonlinear elliptic problems and applications
- Multiplicity and asymptotic behavior of positive solutions for a singular semilinear elliptic problem.
- Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems
- Local behavior of solutions of quasi-linear equations
- On the existence of positive solutions for semilinear elliptic equations with indefinite nonlinearities
- Combined effects of asymptotically linear and singular nonlinearities in bifurcation problems of Lane-Emden-Fowler type
- On a class of sublinear singular elliptic problems with convection term
- On a singular nonlinear dirichlet problem
- Nonlinear Singular Elliptic Problems: Recent Results and Open Problems
- An elliptic equation with singular nonlinearity
- A nonlinear singular boundary value problem
- A Nonlinear Singular Boundary Value Problem in the Theory of Pseudoplastic Fluids
- Brownian motion and harnack inequality for Schrödinger operators
- Weak Solutions of Some Quasilinear Elliptic Equations with Data Measures
- Remarks on some quasilinear elliptic equations
- On a dirichlet problem with a singular nonlinearity
- On a singular nonlinear semilinear elliptic problem
- Regularity of an elliptic problem with a singular nonlinearity
- Multi-parameter bifurcation and asymptotics for the singular Lane–Emden–Fowler equation with a convection term
- The existence and asymptotic behaviour of the unique solution near the boundary to a singular Dirichlet problem with a convection term
- Stable and singular solutions of the equation $Delta u = 1/u$
- Existence theory for single and multiple solutions to singular positone boundary value problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Lane-Emden-Fowler equations with convection and singular potential