Results 51 to 60 of about 112 (88)

Liouville results for double-phase problems involving Δλ-Laplacian

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

Advanced 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, Gallo Marco, Tanaka Kazunaga   +2 more
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Ground states for fractional Kirchhoff double-phase problem with logarithmic nonlinearity

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

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

Advances 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, Lu Yasi, Vetro Calogero, Zeng Shengda   +3 more
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On singular double phase problem with variable exponents and convolution term

Open 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
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Topological structure of the solution sets to neutral evolution inclusions driven by measures

Demonstratio Mathematica
This study is concerned with topological structure of the solution sets to evolution inclusions of neutral type involving measures on compact intervals.
Gu Haibo, Li Ning
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Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
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Topological structure of the solution sets to non-autonomous evolution inclusions driven by measures on the half-line

Demonstratio Mathematica
In this article, we investigate a class of measure differential inclusions of evolution type involving non-autonomous operator with nonlocal condition defined on the half-line.
Ma Yuhua, Gu Haibo, Li Ning
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Existence and uniqueness of solution for a singular elliptic differential equation

Advances in Nonlinear Analysis
In this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
doaj   +1 more source