Results 21 to 30 of about 667 (175)
Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
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Anisotropic (p, q)-equations with superlinear reaction
Ricerche di Matematica, 2022 This paper discusses the anisotropic \((p,q)\) equation \(-\Delta_{p(z)} u-\Delta_{q(z)} u=f(z, u)\) in \(\Omega\), subject to an homogeneous Dirichlet boundary condition. In this context, \(\Omega\) is a smooth and bounded domain, \(\Delta_p\), \(\Delta_q\) stand for the variable exponents \(p\) and \(q\) Laplace operator respectively, \(f(z,u)\) is a
Bai, Yunru +2 more
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Positive solutions for parametric (p(z),q(z))-equations
Open Mathematics, 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 in ℝ+=(0,
Gasiński Leszek +2 more
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Parametric singular double phase Dirichlet problems
Advances in Nonlinear Analysis, 2023 We consider a parametric (with two parameters μ,λ>0\mu ,\lambda \gt 0) Dirichlet problem driven by the double phase differential operator and a reaction which has the competing effect of a singular term and of a superlinear perturbation.
Bai Yunru +2 more
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Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
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Divergent sequence of nontrivial solutions for superlinear double phase problems [PDF]
, 2023 We consider a double phase (unbalanced growth) Dirichlet problem with a Carathéodory reaction f(z ,x) which is superlinear in x but without satisfying the AR-condition.
Vetro F., Papageorgiou N. S., Vetro C.
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Superlinear Robin Problems with Indefinite Linear Part [PDF]
, 2020 We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases AR condition.
Papageorgiou, Nikolaos S. +2 more
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Electrically Tunable Tunneling and Spectral Response in WSe<sub>2</sub>/h-BN/CdSe/Graphene Heterostructure. [PDF]
SmallIn the WSe2/h‐BN/CdSe quantum dot/graphene heterostructure, the graphene voltage dynamically tunes the tunneling barrier and energy alignment across the h‐BN layer. The bias‐dependent Fermi‐level alignment enhances the tunneling density of states, leading to efficient extraction of photo‐excited electrons from QDs into WSe2 and graphene.
Lee SH +6 more
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Journal of Differential Equations, 2022 accepted for publication in ...
Agresti, Antonio, Veraar, Mark
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Positive solutions for nonparametric anisotropic singular solutions [PDF]
Opuscula MathematicaWe consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou +2 more
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