Zobrazeno 1 - 10
of 243 705
pro vyhledávání: '"Kirchhoff, A."'
Autor:
Wang, Qun, Chang, Xiaojun
In this paper, we investigate the existence of normalized solutions for the following nonlinear Kirchhoff type problem \begin{equation*} \begin{cases} -(a+b\int_{\Omega}\vert\nabla u\vert^2dx)\Delta u+\lambda u=\vert u\vert^{p-2}u & \text{ in }\Omega
Externí odkaz:
http://arxiv.org/abs/2408.17155
This work utilizes the Immersed Boundary Conformal Method (IBCM) to analyze Kirchhoff-Love and Reissner-Mindlin shell structures within an immersed domain framework. Immersed boundary methods involve embedding complex geometries within a background g
Externí odkaz:
http://arxiv.org/abs/2408.02530
In present paper, we study the limit behavior of normalized ground states for the following mass critical Kirchhoff equation $$ \left\{\begin{array}{ll} -(a+b\int_{\Omega}|\nabla u|^2\mathrm{d}x)\Delta u+V(x)u=\mu u+\beta^*|u|^{\frac{8}{3}}u &\mbox{i
Externí odkaz:
http://arxiv.org/abs/2409.05130
Autor:
Wang, Lidan
In this paper, we study the following Kirchhoff-Choquard equation $$ -\left(a+b \int_{\mathbb{Z}^3}|\nabla u|^{2} d \mu\right) \Delta u+h(x) u=\left(R_{\alpha}\ast|u|^{p}\right)|u|^{p-2}u,\quad x\in \mathbb{Z}^3, $$ where $a,\,b>0$, $\alpha \in(0,3)$
Externí odkaz:
http://arxiv.org/abs/2408.06566
By using the well-known mountain pass theorem and Ekeland's variational principle, we prove that there exist at least two fully-non-trivial solutions for a $(p,q)$-Kirchhoff elliptic system with the Dirichlet boundary conditions and perturbation term
Externí odkaz:
http://arxiv.org/abs/2408.02041
Autor:
Zhu, Xincai1 (AUTHOR) wuhanxiao19991228@163.com, Wu, Hanxiao1 (AUTHOR)
Publikováno v:
Axioms (2075-1680). Sep2024, Vol. 13 Issue 9, p571. 14p.
In this paper, by using variational methods we study the existence of positive solutions for the following Kirchhoff type problem: $$ \left\{ \begin{array}{ll} -\left(a+b\mathlarger{\int}_{\Omega}|\nabla u|^{2}dx\right)\Delta u+V(x)u=u^{5}, \ & x\in\
Externí odkaz:
http://arxiv.org/abs/2407.06735
Autor:
Anello, Giovanni, Vilasi, Luca
We consider a Kirchhoff problem of Brezis-Nirenberg type in a smooth bounded domain of $\mathbb{R}^4$ with Dirichlet boundary conditions. Our approach, novel in this framework and based upon approximation arguments, allows us to cope with the interac
Externí odkaz:
http://arxiv.org/abs/2405.17055
Autor:
Villa-Hernández, Joan Manuel1 (AUTHOR) joan.villa@inaoep.mx, Olivares-Pérez, Arturo1 (AUTHOR) joan.villa@inaoep.mx, Herran-Cuspinera, Roxana1 (AUTHOR), Juárez-Pérez, José Luis2 (AUTHOR) jjuarez65@hotmail.com, Mancio, Luis1 (AUTHOR), Delesma, Rocío1 (AUTHOR) joan.villa@inaoep.mx
Publikováno v:
Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1219. 16p.
Autor:
Wang, Lidan
In this paper, we study the discrete logarithmic Kirchhoff equation $$ -\left(a+b \int_{\mathbb{Z}^3}|\nabla u|^{2} d \mu\right) \Delta u+(\lambda h(x)+1) u=|u|^{p-2}u \log u^{2}, \quad x\in \mathbb{Z}^3, $$ where $a,b>0, p>6$ and $\lambda$ is a posi
Externí odkaz:
http://arxiv.org/abs/2407.09794