Results 11 to 20 of about 661 (92)

Bifurcation analysis for a modified quasilinear equation with negative exponent

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we consider the following modified quasilinear problem:
Chen Siyu   +3 more
doaj   +1 more source

Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we establish the second boundary behavior of the unique strictly convex solution to a singular Dirichlet problem for the Monge-Ampère ...
Wan Haitao, Shi Yongxiu, Liu Wei
doaj   +1 more source

Deforming a Convex Hypersurface by Anisotropic Curvature Flows

open access: yesAdvanced Nonlinear Studies, 2021
In this paper, we consider a fully nonlinear curvature flow of a convex hypersurface in the Euclidean 𝑛-space. This flow involves 𝑘-th elementary symmetric function for principal curvature radii and a function of support function.
Ju HongJie, Li BoYa, Liu YanNan
doaj   +1 more source

On isolated singularities of Kirchhoff equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this note, we study isolated singular positive solutions of Kirchhoff ...
Chen Huyuan   +2 more
doaj   +1 more source

Positive solution for a nonlocal problem with strong singular nonlinearity

open access: yesOpen Mathematics, 2023
In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue   +3 more
doaj   +1 more source

Positive solutions for a class of singular (p, q)-equations

open access: yesAdvances in Nonlinear Analysis, 2023
We consider a nonlinear singular Dirichlet problem driven by the (p,q)\left(p,q)-Laplacian and a reaction where the singular term u−η{u}^{-\eta } is multiplied by a strictly positive Carathéodory function f(z,u)f\left(z,u).
Leonardi Salvatore   +1 more
doaj   +1 more source

Nonexistence of solutions for singular nonlinear ordinary inequalities [PDF]

open access: yes, 2015
In this paper we prove nonexistence theorems of nonnegative nontrivial solutions for a singular nonlinear ordinary inequality in bounded domains with singular points on the boundary. The proofs are based on the test function method developed by Mitidieri
Li, Xiaohong
core   +6 more sources

Some recent results on singular p-Laplacian equations

open access: yesDemonstratio Mathematica, 2022
A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions.
Guarnotta Umberto   +2 more
doaj   +1 more source

Symmetry of solutions to singular fractional elliptic equations and applications

open access: yes, 2020
In this article, we study the symmetry of positive solutions to a class of singular semilinear elliptic equations whose prototype is (P ) { (−∆)s u = 1 uδ + f (u), u > 0 inΩ; u = 0 in Rn \Ω, where 0 < s < 1, n ≥ 2s, Ω = Br (0) ⊂ Rn , δ > 0, f (u) is a ...
R. Arora   +3 more
semanticscholar   +1 more source

Touchdown solutions in general MEMS models

open access: yesAdvances in Nonlinear Analysis, 2023
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1 ...
Clemente Rodrigo   +3 more
doaj   +1 more source

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