Results 11 to 20 of about 74 (51)

Positive radial symmetric solutions for a class of elliptic problems with critical exponent and -1 growth

open access: yesAdvances in Nonlinear Analysis, 2021
In this paper, we consider a class of semilinear elliptic equation with critical exponent and -1 growth. By using the critical point theory for nonsmooth functionals, two positive solutions are obtained. Moreover, the symmetry and monotonicity properties
Lei Chun-Yu, Liao Jia-Feng
doaj   +1 more source

Fractional Hardy-Sobolev equations with nonhomogeneous terms

open access: yesAdvances in Nonlinear Analysis, 2021
This paper deals with existence and multiplicity of positive solutions to the following class of nonlocal equations with critical nonlinearity:
Bhakta Mousomi   +2 more
doaj   +1 more source

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain

open access: yesAdvances in Nonlinear Analysis, 2021
We study the wave inequality with a Hardy ...
Jleli Mohamed   +2 more
doaj   +1 more source

On Singular Liouville Equations and Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
doaj   +1 more source

The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation

open access: yesAdvanced Nonlinear Studies, 2023
We consider the existence and nonexistence of the positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: −Δu=∣u∣2∗−2u+λu+μulogu2x∈Ω,u=0x∈∂Ω,\left\{\phantom{\rule[-1.25em]{}{0ex}}\begin{array}{ll}-\Delta u={| u| }^{{2}^
Deng Yinbin   +3 more
doaj   +1 more source

On Critical p-Laplacian Systems

open access: yesAdvanced Nonlinear Studies, 2017
We consider the critical p-Laplacian ...
Guo Zhenyu, Perera Kanishka, Zou Wenming
doaj   +1 more source

Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth

open access: yesAdvanced Nonlinear Studies, 2020
In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
doaj   +1 more source

Fujita-type theorems for a quasilinear parabolic differential inequality with weighted nonlocal source term

open access: yesAdvances in Nonlinear Analysis, 2023
This work is concerned with the nonexistence of nontrivial nonnegative weak solutions for a quasilinear parabolic differential inequality with weighted nonlocal source term in the whole space, which involves weighted polytropic filtration operator or ...
Li Yuepeng, Fang Zhong Bo
doaj   +1 more source

Self-Similar Blow-Up Profiles for a Reaction-Diffusion Equation with Strong Weighted Reaction

open access: yesAdvanced Nonlinear Studies, 2020
We study the self-similar blow-up profiles associated to the following second-order reaction-diffusion equation with strong weighted reaction and unbounded weight:
Iagar Razvan Gabriel, Sánchez Ariel
doaj   +1 more source

Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations

open access: yesAdvances in Nonlinear Analysis, 2023
This article is directed to the study of the following Schrödinger-Poisson-Slater type equation: −ε2Δu+V(x)u+ε−α(Iα∗∣u∣2)u=λ∣u∣p−1uinRN,-{\varepsilon }^{2}\Delta u+V\left(x)u+{\varepsilon }^{-\alpha }\left({I}_{\alpha }\ast | u{| }^{2})u=\lambda | u{| }^{
Li Yiqing, Zhang Binlin, Han Xiumei
doaj   +1 more source

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