Zobrazeno 1 - 10
of 368
pro vyhledávání: '"Gasiński Leszek"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 357-368 (2021)
We consider a nonlinear boundary value problem with degenerate nonlocal term depending on the Lq-norm of the solution and the p-Laplace operator. We prove the multiplicity of positive solutions for the problem, where the number of solutions doubles t
Externí odkaz:
https://doaj.org/article/31d8852dcbfc4f6fb51c1294a2ec92a6
It is established existence and multiplicity of solution for the following class of quasilinear elliptic problems $$ \left\{ \begin{array}{lr} -\Delta_\Phi u = \lambda a(x) |u|^{q-2}u + |u|^{p-2}u, & x\in\Omega, u = 0, & x \in \partial \Omega, \end{a
Externí odkaz:
http://arxiv.org/abs/2410.00861
Publikováno v:
Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 659-672 (2020)
In the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term. Denoting by 𝓢 the solution set of the obstacle proble
Externí odkaz:
https://doaj.org/article/7efa30cc661f4e93986d29166af6698f
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1076-1096 (2020)
We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves
Externí odkaz:
https://doaj.org/article/dca30b4ef45b4c70909bd026d62a67c3
In this paper we study the following nonlocal Dirichlet equation of double phase type \begin{align*} -\psi \left [ \int_\Omega \left ( \frac{|\nabla u |^p}{p} + \mu(x) \frac{|\nabla u|^q}{q}\right)\,\mathrm{d} x\right] \mathcal{G}(u) = f(x,u)\quad \t
Externí odkaz:
http://arxiv.org/abs/2310.20013
Publikováno v:
In Journal of Differential Equations 5 December 2024 411:51-89
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2025 142
Autor:
Gasiński, Leszek1 (AUTHOR) leszek.gasinski@uken.krakow.pl, Makrides, Gregoris1 (AUTHOR), Papageorgiou, Nikolaos S.2,3 (AUTHOR)
Publikováno v:
Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1188. 10p.