Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Leszek Gasiński"'
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1188 (2024)
We consider a Dirichlet problem driven by the anisotropic (p,q) Laplacian. In the reaction, we have a parametric partially concave term plus a “superlinear” perturbation (convex term) which need not satisfy the Ambrosetti–Rabinowitz condition.
Externí odkaz:
https://doaj.org/article/1a8e589be90445d48c232f1809d9cac1
Publikováno v:
Mathematics, Vol 12, Iss 9, p 1280 (2024)
We consider a nonlinear Dirichlet problem driven by the (p(z),q)-Laplacian and with a logistic reaction of the equidiffusive type. Under a nonlinearity condition on a quotient map, we show existence and uniqueness of positive solutions and the result
Externí odkaz:
https://doaj.org/article/f4695d18e032486aab7779c6558b6887
Publikováno v:
Symmetry, Vol 15, Iss 2, p 495 (2023)
We consider a Dirichlet problem, which is a perturbation of the eigenvalue problem for the anisotropic p-Laplacian. We assume that the perturbation is (p(z)−1)-sublinear, and we prove an existence and nonexistence theorem for positive solutions as
Externí odkaz:
https://doaj.org/article/b8c4add92afc45a6aa491141f124adb2
Publikováno v:
Bulletin of Mathematical Sciences, Vol 10, Iss 3, Pp 2050009-1-2050009-15 (2020)
In this paper, we study a class of generalized and not necessarily differentiable functionals of the form J(u) =∫ΩG(x,∇u)dx −∫Ωj1(x,u)dx −∫∂Ωj2(x,u)dσ with functions j1: Ω × ℝ → ℝ, j2: ∂Ω × ℝ → ℝ that are only lo
Externí odkaz:
https://doaj.org/article/1a681b767ec444f09873780017c45dc4
Publikováno v:
Axioms, Vol 11, Iss 2, p 58 (2022)
We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+. Using variational tools and truncation and comp
Externí odkaz:
https://doaj.org/article/2765b770a8ef48eab0b233c5eb0b6e6e
Publikováno v:
Boundary Value Problems, Vol 2018, Iss 1, Pp 1-24 (2018)
Abstract We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. Using a topological approach based on the Leray–Schauder alternative principle, togethe
Externí odkaz:
https://doaj.org/article/1f399cee0e6e4131a82150af8c517d3f
Publikováno v:
Symmetry, Vol 13, Iss 9, p 1556 (2021)
We consider a nonlinear Dirichlet problem driven by the double phase differential operator and with a superlinear reaction which need not satisfy the Ambrosetti–Rabinowitz condition. Using the Nehari manifold, we show that the problem has at least
Externí odkaz:
https://doaj.org/article/501561c176cd4b2f96106ed709470954
Publikováno v:
Mathematics, Vol 8, Iss 8, p 1332 (2020)
We consider an anisotropic Dirichlet problem which is driven by the (p(z),q(z))-Laplacian (that is, the sum of a p(z)-Laplacian and a q(z)-Laplacian), The reaction (source) term, is a Carathéodory function which asymptotically as x±∞ can be reson
Externí odkaz:
https://doaj.org/article/cd22985d3e5a44fda13ab21c3f76d84d
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We consider a parametric semilinear Dirichlet problem with an unbounded and indefinite potential. In the reaction we have the competing effects of a sublinear (concave) term and of a superlinear (convex) term. Using variational methods coupled with s
Externí odkaz:
https://doaj.org/article/456233036d094ff78ea285826204e440
Publikováno v:
Abstract and Applied Analysis, Vol 2012 (2012)
We consider a nonlinear Dirichlet elliptic equation driven by a nonhomogeneous differential operator and with a Carathéodory reaction f(z,ζ), whose primitive f(z,ζ) is p-superlinear near ±∞, but need not satisfy the usual in such cases, the Amb
Externí odkaz:
https://doaj.org/article/ec2bec6bf62c405dac3364dbd9a691aa