Positive solutions for nonlinear singular elliptic equations of p-Laplacian type with dependence on the gradient

Z Liu, D Motreanu, S Zeng - Calculus of Variations and Partial Differential …, 2019 - Springer
In this paper, we study a nonlinear Dirichlet problem of p-Laplacian type with combined
effects of nonlinear singular and convection terms. An existence theorem for positive …

Nonlinear Singular Elliptic Equations of p-Laplace Type with Superlinear Growth in the Gradient

A Sbai, Y El Hadfi, S Zeng - Mediterranean Journal of Mathematics, 2023 - Springer
We consider a singular nonlinear elliptic Dirichlet problems with lower-order terms, where
the combined effects of a superlinear growth in the gradient and a singular term allow us to …

On a singular Robin problem with convection terms

U Guarnotta, SA Marano, D Motreanu - Advanced Nonlinear Studies, 2020 - degruyter.com
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem
with non-homogeneous differential operator and reaction given by a nonlinear convection …

Positive solutions for anisotropic singular (p, q)-equations

NS Papageorgiou, A Scapellato - Zeitschrift für angewandte Mathematik …, 2020 - Springer
We consider a nonlinear elliptic Dirichlet problem driven by the anisotropic (p, q)-Laplacian
and with a reaction which is nonparametric and has the combined effects of a singular and …

KIRCHHOFF TYPE EQUATIONS WITH STRONG SINGULARITIES.

Y Sun, Y Tan - Communications on Pure & Applied Analysis, 2019 - search.ebscohost.com
An optimal condition is given for the existence of positive solutions of nonlinear Kirchhoff
PDE with strong singularities. A byproduct is that-2 is no longer the critical position for the …

Continuity results for parametric nonlinear singular Dirichlet problems

Y Bai, D Motreanu, S Zeng - Advances in Nonlinear Analysis, 2019 - degruyter.com
In this paper we study from a qualitative point of view the nonlinear singular Dirichlet
problem depending on a parameter λ> 0 that was considered in. Denoting by Sλ the set of …

Nonlinear elliptic equations with singular reaction

NS Papageorgiou, G Smyrlis - 2016 - projecteuclid.org
We study a nonlinear elliptic equation with a singular term and a continuous perturbation.
We look for positive solutions. We prove three multiplicity theorems producing at least two …

Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities

NS Papageorgiou, P Winkert - Positivity, 2016 - Springer
We consider a nonlinear parametric Dirichlet equation driven by a nonhomogeneous
differential operator involving a reaction exhibiting the competing effects of concave and …

Positive solutions for nonlinear singular superlinear elliptic equations

Y Bai, L Gasiński, NS Papageorgiou - Positivity, 2019 - Springer
We consider a nonlinear nonparametric elliptic Dirichlet problem driven by the p-Laplacian
and reaction containing a singular term and a (p-1)(p-1)-superlinear perturbation. Using …

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

T Godoy, A Guerin - Discrete and Continuous Dynamical Systems, 2018 - aimsciences.org
We consider the problem $-Δ u= χ_ {\{u> 0\}} g (., u)+ f (., u) $ in $ Ω, $$ u= 0$ on $\partialΩ,
$$ u≥ 0$ in $ Ω, $ where $ Ω $ is a bounded domain in $\mathbb {R}^{n} $, $ f …