Existence and non-existence results for fractional Kirchhoff Laplacian problems
Sign Up to like & getrecommendations! Published in 2021 at "Analysis and Mathematical Physics"
DOI: 10.1007/s13324-020-00435-7
Abstract: In this paper, we study the following fractional Kirchhoff-type problem: $$\begin{aligned} \left[ a+b\Big (\iint _{{\mathbb {R}}^{2N}} \frac{|u(x)-u(y)|^2}{|x-y|^{N+2s}}dx dy \Big )^{\theta -1}\right] (-\Delta )^s u= & {} |u|^{2^*_s- 2} u\\&\quad + \lambda f(x) |u|^{q-2}u, ~ in… read more here.
Keywords: fractional kirchhoff; existence non; existence; existence results ... See more keywords
On a condition of existence of non-anticipating selections
Sign Up to like & getrecommendations! Published in 2018 at "IFAC-PapersOnLine"
DOI: 10.1016/j.ifacol.2018.11.393
Abstract: Abstract The hereditary selections of multi-functions play an important role in the theory of diferential games in connection with the construction of resolving quasi-strategies. The existence of a non-anticipating selection of a non-anticipating multi-function is… read more here.
Keywords: condition; anticipating selections; multi function; non anticipating ... See more keywords
On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium
Sign Up to like & getrecommendations! Published in 2018 at "Wave Motion"
DOI: 10.1016/j.wavemoti.2017.11.001
Abstract: Abstract The propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations.… read more here.
Keywords: polarized azimuthal; non polarized; problem; dielectric waveguide ... See more keywords
Existence and non-existence results for a class of systems under concave-convex nonlinearities
Sign Up to like & getrecommendations! Published in 2024 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091524000476
Abstract: Abstract In this work, we are interested in studying the following class of problems: (𝒫λμ)\begin{align} \left\{ \begin{array}{ll} -\Delta u=f_\lambda(x,u,v)& \text{in}~~\Omega\\ -\Delta v=g_\mu(x,u,v) & \text{in}~~\Omega\\ 0\not\equiv u\geq 0,\,\,0\not\equiv v\geq 0& \text{in}~~\Omega\\ u=v=0&\text{on}~~\partial\Omega \end{array} \right. \end{align} where… read more here.
Keywords: existence non; existence; class; concave convex ... See more keywords