Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Dus̆an D. Repovs̆"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 61,, Pp 1-12 (2023)
Externí odkaz:
https://doaj.org/article/838fe2fbf68a45679dfb656ce39ddd3a
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-20 (2022)
Abstract We present the theory of a new fractional Sobolev space in complete manifolds with variable exponent. As a result, we investigate some of our new space’s qualitative properties, such as completeness, reflexivity, separability, and density.
Externí odkaz:
https://doaj.org/article/de05219482c8479dbb43fb2adb4f513e
Publikováno v:
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 100, Iss 2, p A10 (2022)
We prove that no 14-connected (resp. 30-connected) stably parallelizable manifold N^30 (resp. N^62) of dimension 30 (resp. 62) with the Arf-Kervaire invariant 1 can be smoothly embedded into R^36 (resp. R^83).
Externí odkaz:
https://doaj.org/article/8b31e11ceecf4f40b0b7b7bd1afc1af4
Publikováno v:
Electronic Journal of Differential Equations, Vol 2021, Iss 19,, Pp 1-20 (2021)
Externí odkaz:
https://doaj.org/article/96dc22e9c38f46379e2c69de765a6b7d
Autor:
Dusan D. Repovs
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 41,, Pp 1-10 (2018)
We study the degenerate elliptic equation $$ -\hbox{div}(|x|^\alpha\nabla u) =f(u)+t\phi(x)+h(x) $$ in a bounded open set $\Omega$ with homogeneous Neumann boundary condition, where $\alpha\in(0,2)$ and f has a linear growth. The main result est
Externí odkaz:
https://doaj.org/article/4a5e260fb8b2490d97d7d75b9c044a76
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 249,, Pp 1-13 (2017)
We consider a nonlinear elliptic equation driven by the Dirichlet p-Laplacian with a singular term and a (p-1)-linear perturbation which is resonant at $+\infty$ with respect to the principal eigenvalue. Using variational tools, together with suit
Externí odkaz:
https://doaj.org/article/59cca0a81f9c45978b39651a88c44999
Publikováno v:
Matematicheskie Zametki. 109:370-379
Рассматриваются числовые характеристики тождеств неассоциативных алгебр. Построена серия алгебр с субэкспоненциальной функцией рост
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u
Externí odkaz:
https://doaj.org/article/33910121f5964232ad9201b41e8f38ec
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5749-5765 (2023)
In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: $ \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\int_{\Omega}|\nabla_{H} u|^{p}d\xi)\Delta_{H, p}u-\mu\phi |u|^{p-2
Externí odkaz:
https://doaj.org/article/efc3e9745c08424099273a7173ed6d4e
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational