Results 51 to 60 of about 126 (97)

Liouville results for double-phase problems involving Δλ-Laplacian

open access: yesDemonstratio Mathematica
In this paper, we examine the following double-phase problem with weights−divλ∇λur−2∇λu+w(x)∇λup−2∇λu=f(x)|u|q−1u∫RNf(y)|u(y)|q+1|x−y|λτdyinRN, $$-{\text{div}}_{\lambda }\left({\left\vert {\nabla }_{\lambda }u\right\vert }^{r-2}{\nabla }_{\lambda }u+w ...
Wei Yunfeng, Chen Caisheng
doaj   +1 more source

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

open access: yesAdvanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia   +2 more
doaj   +1 more source

Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity

open access: yesDemonstratio Mathematica
Our primary objective is to study the solvability of two kinds of fractional Kirchhoff double-phase problem involving logarithmic nonlinearity in RN{{\mathbb{R}}}^{N} via the variational approach.
Cheng Yu, Shang Suiming, Bai Zhanbing
doaj   +1 more source

Global existence, asymptotic behavior, and finite time blow up of solutions for a class of generalized thermoelastic system with p-Laplacian

open access: yesAdvances in Nonlinear Analysis
In this work, we examine the initial boundary value problem for the thermoelastic system with pp-Laplacian, subject to a novel nonlinearity condition within a bounded domain.
Chen Yuxuan
doaj   +1 more source

Existence of solutions to a diffusive shallow medium equation. [PDF]

open access: yesJ Evol Equ, 2021
Bögelein V, Dietrich N, Vestberg M.
europepmc   +1 more source

Existence results of variable exponent double-phase multivalued elliptic inequalities with logarithmic perturbation and convections

open access: yesAdvances in Nonlinear Analysis
In this study, we deal with a multivalued elliptic variational inequality involving a logarithmic perturbed variable exponents double-phase operator. Additionally, it features a multivalued convection term alongside two multivalued terms, one defined ...
Cen Jinxia   +3 more
doaj   +1 more source

On singular double phase problem with variable exponents and convolution term

open access: yesOpen Mathematics
In this article, we consider the following singular double phase problem with variable exponents and convolution term of the form: −Tp(x),q(x)α(x)(u)=λs(x)u−γ(x)+∫Ω|u(x)|h(x)|x−y|μ(x,y)|u(y)|h(x)−2u(y)inΩ,u=0on∂Ω, $$\begin{cases}-{\mathcal{T}}_{p\left(x ...
He Rui, Liang Sihua
doaj   +1 more source

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