نتایج جستجو برای: kirchhoff type
تعداد نتایج: 1343809 فیلتر نتایج به سال:
In this work, by using variational methods we study the existence of nontrivial positive solutions for a class p-Kirchhoff type problems with critical Sobolev exponent.
This paper deals with the existence and multiplicity of solutions for a perturbed nonlocal fourth-order class p(·)&q(·)-Kirchhoff elliptic systems under Navier boundary conditions. By using variational method Ricceri’s critical point theorem, we can find proper conditions to ensure that (p(x),q(x))-Kirchhoff has at least three weak solutions. We have extended improved some recent results. T...
Inspired by a recent result of Davies and Pushnitski, we study resonance asymptotics of quantum graphs with general coupling conditions at the vertices. We derive a criterion for the asymptotics to be of a non-Weyl character. We show that for balanced vertices with permutation-invariant couplings the asymptotics is non-Weyl only in case of Kirchhoff or anti-Kirchhoff conditions. For graphs with...
We prove the existence of multiple solutions for following sixth-order $p(x)$-Kirchhoff-type problem: $-M(\int_\Omega \frac{1}{p(x)}|\nabla \Delta u|^{p(x)}dx)\Delta^3_{p(x)} u = \lambda f(x)|u|^{q(x)-2}u + g(x)|u|^{r(x)-2}u h(x) \ \mbox{on} \Omega$ and $ u=\Delta u=\Delta^2 u=0 \partial\Omega,$ where $\Omega \subset \mathbb{R}^N$ is a smooth bounded domain, $N > 3$, $\Delta_{p(x)}^3u \operator...
the degree kirchhoff index of a connected graph $g$ is defined as the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices, where $d_i$ is the degree of the $i$-th vertex, and $r_{ij}$ the resistance distance between the $i$-th and $j$-th vertex of $g$. bounds for the degree kirchhoff index of the line and para-line graphs are determined. the special case of regular grap...
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