Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Robert Stegliński"'
Autor:
Robert Stegliński
Publikováno v:
Opuscula Mathematica, Vol 42, Iss 5, Pp 751-761 (2022)
Using the Dual Fountain Theorem we obtain some existence of infinitely many solutions for local and nonlocal elliptic equations with variable exponent. Our results correct some of the errors that have appeared recently in the literature.
Externí odkaz:
https://doaj.org/article/80508850e192468d95a8ad5b0733239e
Autor:
Robert Stegliński
Publikováno v:
Entropy, Vol 23, Iss 7, p 851 (2021)
In the present paper we give conditions under which there exists a unique weak solution for a nonlocal equation driven by the integrodifferential operator of fractional Laplacian type. We argue for the optimality of some assumptions. Some Lyapunov-ty
Externí odkaz:
https://doaj.org/article/28eb8b17789a4ed3a713ff64a2815594
Autor:
Robert Stegliński
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 56, Pp 1-12 (2017)
In this paper, we study the existence of infinitely many solutions for an elliptic problem with the nonlinearity having an oscillatory behavior. We propose more general assumptions on the nonlinear term which improve the results occurring in the lite
Externí odkaz:
https://doaj.org/article/84d5336d7b114a0bba0aa5c707d1a56f
Autor:
Robert Stegliński
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 35, Pp 1-11 (2016)
In this paper, we determine a concrete interval of positive parameters , for which we prove the existence of infinitely many homoclinic solutions for a discrete problem $$\Delta(a(k)\phi_p(u(k-1)))+ b(k)\phi_p(u(k)) = \lambda f(k;u(k)),\quad k \in Z,
Externí odkaz:
https://doaj.org/article/73a45e71d26b49f0b41a705223352ef7
Autor:
Robert Stegliński
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 25, Pp 1-10 (2015)
In this paper, we determine a concrete interval of positive parameters $\lambda$, for which we prove the existence of infinitely many solutions for an anisotropic discrete Dirichlet problem \begin{align*} -\Delta\left( \alpha\left( k\right) |\Delta u
Externí odkaz:
https://doaj.org/article/4c7f9811c19d49d7bddf007b5c443e0f
Autor:
Robert Stegliński
Publikováno v:
Qualitative Theory of Dynamical Systems. 22
By employing Clark’s theorem we prove the existence of infinitely many homoclinic solutions to the local and nonlocal discrete p-Laplacian equations on the integers. Our results extend and correct the reasoning of some recent findings expressed in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c38bc2b15c9be92774e28822b59d4d58
https://doi.org/10.1007/s12346-023-00767-2
https://doi.org/10.1007/s12346-023-00767-2
Autor:
Robert Stegliński
Publikováno v:
Numerical Functional Analysis and Optimization. 42:809-818
Using the monotonicity methods, we obtain conditions for the existence of the unique weak solution of Dirichlet problem{Δu(x)+a(x)u(x)=f(x,u(x))x∈V\V0u|V0=0,considered on the Sierpinski gasket. We ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de4aa4713b0261ffc79373b29bb95d2a
https://doi.org/10.1080/01630563.2021.1931310
https://doi.org/10.1080/01630563.2021.1931310
Autor:
Robert Stegliński
Publikováno v:
Forum Mathematicum. 33:465-476
The aim of this paper is to extend results from [A. Cañada, J. A. Montero and S. Villegas, Lyapunov inequalities for partial differential equations, J. Funct. Anal. 237 (2006), 1, 176–193] about Lyapunov-type inequalities for linear partial differ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3bfdb0bf61500c91182bfaf17ea1848
https://doi.org/10.1515/forum-2020-0232
https://doi.org/10.1515/forum-2020-0232
Autor:
Robert Stegliński
We consider a discrete double phase problem on integers with an unbounded potential and reaction term, which does not satisfy the Ambrosetti–Rabinowitz condition. A new functional setting was provided for this problem. Using the Fountain and Dual F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81ab9e88aaeb0b3647369431b4c6f299
https://doi.org/10.22541/au.163704328.86201280/v1
https://doi.org/10.22541/au.163704328.86201280/v1
Autor:
Robert Stegliński
Publikováno v:
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 115
In this work, we establish optimal Lyapunov-type inequalities for the second-order difference equation withp-Laplacian$$\begin{aligned} \Delta (\left| \Delta u(k-1)\right| ^{p-2}\Delta u(k-1))+a(k)\left| u(k)\right| ^{p-2}u(k)=0 \end{aligned}$$Δ(Δu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::398ba6556dc30751637b7a8389d05aab
https://doi.org/10.1007/s13398-021-01080-w
https://doi.org/10.1007/s13398-021-01080-w