Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term

DOI10.1016/j.jmaa.2006.09.074zbMath1211.35128arXivmath/0610431OpenAlexW2160368086MaRDI QIDQ886179

Marius Ghergu, Vicenţiu D. Rădulescu

Publication date: 26 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610431

zbMATH Keywords

maximum principleground state solutionconvection termsingular elliptic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Singular elliptic equations (35J75)

Related Items (33)

Kirchhoff type equations with strong singularities ⋮ Problems for elliptic singular equations with a quadratic gradient term ⋮ Existence and global asymptotic behavior of positive solutions for combined second-order differential equations on the half-line ⋮ Existence and uniqueness of solutions for the Lane, Emden and Fowler type problem ⋮ Positive solutions with specific asymptotic behavior for a polyharmonic problem on Rn ⋮ Existence of two weak solutions for some singular elliptic problems ⋮ Existence and asymptotic properties of singular solutions of nonlinear elliptic equations in \(\mathbb{R}^n\backslash\{0\}\) ⋮ Asymptotic behavior of ground state radial solutions for \(p\)-Laplacian problems ⋮ Asymptotic behavior of ground state solutions of some combined nonlinear problems ⋮ Some recent results on singular \(p\)-Laplacian equations ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ Asymptotic behaviour of ground state solutions of a non-linear dirichlet problem ⋮ Complicated asymptotic behavior exponents for solutions of the evolution \(p\)-Laplacian equation with absorption ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ Nontrivial solutions of second-order singular Dirichlet systems ⋮ Bifurcation and asymptotical behavior for singular elliptic equation with a linear convection term ⋮ Generalized yamabe equations on riemannian manifolds and applications to Emden-Fowler problems ⋮ Existence of three weak solutions for some singular elliptic problems ⋮ Existence of infinitely many weak solutions for some singular elliptic problems ⋮ Asymptotic behavior of positive solutions of a nonlinear combined \(p\)-Laplacian equation ⋮ Non-radial solutions of a supercritical equation in expanding domains: the limit case ⋮ Existence of solutions of sublinear elliptic systems with quadratic growth in the gradient ⋮ Unnamed Item ⋮ Ground state solutions for singular quasilinear elliptic equations ⋮ Ground state solutions for a semilinear elliptic problem with a convection term ⋮ Lane-Emden-Fowler equations with convection and singular potential ⋮ On a singular elliptic system with quadratic growth in the gradient ⋮ The group classification of Lane-Emden systems ⋮ Existence results for elliptic problems with Hardy potential ⋮ Ground state solutions for singular semi-linear elliptic equations ⋮ Existence and nonexistence of ground state solutions for elliptic equations with a convection term ⋮ Strongly singular convective elliptic equations in \(\mathbb{R}^N\) driven by a non-homogeneous operator ⋮ Multiple finite-energy positive weak solutions to singular elliptic problems with a parameter

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