Results 11 to 20 of about 2,153,662 (184)
Nonhomogeneous Nonlinear Dirichlet Problems with a p-Superlinear Reaction [PDF]
Abstract and Applied Analysis, 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 Ambrosetti ...
Leszek Gasiński +1 more
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Robin problems with a general potential and a superlinear reaction [PDF]
Journal of Differential Equations, 2017 We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques
Nikolaos S. Papageorgiou +2 more
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Singular (p, q)-equations with superlinear reaction and concave boundary condition [PDF]
Applicable Analysis, 2020 We consider a parametric nonlinear elliptic problem driven by the sum of a p-Laplacian and of a q-Laplacian (a (p,q)-equation) with a singular and (p−1)-superlinear reaction and a Robin boundary co...
Nikolaos S. Papageorgiou +2 more
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Controllability results for weakly blowing up reaction-diffusion system [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, we consider the controllability of a general reaction-diffusion system with homogeneous Dirichlet boundary conditions. We prove the exact controllability to the trajectories and the approximate controllability of the system which contains ...
Qiang Tao, Hang Gao, Ying Yang
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Nano Letters, 2023 The superlinear dependence of the reaction rate on the power of the excitation light, which may arise from both thermal and nonthermal effects, has been a hallmark of plasmon-driven photocatalysis on nanostructured metal surfaces. However, it remains challenging to distinguish and quantify the thermal and nonthermal effects because even slight ...
Kexun Chen, Hui Wang
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Electronic Journal of Differential EquationsThis analysis explores the oscillatory behavior of traveling wave solutions for a higher-order p-Laplacian operator with a superlinear reaction term.
Jose Luis Diaz Palencia
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, 2003 We are interested in the existence of distributional solutions for two types of nonlinear evolution problems, whose models are (1.1) and (1.2) below. In the first one the nonlinear reaction term depends on the solution with a slightly superlinear growth.
DALL'AGLIO, Andrea +2 more
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Elucidating Photo-Kinetic Control in Photothermal Reverse Water-Gas Shift Reaction. [PDF]
Angew Chem Int Ed EnglLight directly regulates the rate‐determining step (RDS) in photothermal catalysis. In a Mars–van Krevelen (MvK)‐type reverse water‐gas shift (RWGS) reaction over In‐doped MoO2, light shifts the RDS from the H2‐related reduction half‐reaction to the CO2‐related oxidation half‐reaction, enhancing catalytic activity and lowering the apparent activation ...
Sun J +13 more
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Electronic Journal of Differential Equations, 2016 This article concerns with the solution to a heat equation with a free boundary in n-dimensional space. By applying the energy inequality to the solutions that depend not only on the initial value but also on the dimension of space, we derive the ...
Qunying Zhang, Jing Ge, Zhigui Lin
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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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