Results 71 to 80 of about 1,637 (213)
Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
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Critical fractional p-Laplacian problems with possibly vanishing potentials
Journal of Mathematical Analysis and Applications, 2016 We obtain nontrivial solutions of a critical fractional $p$-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable ...
Perera, K., Squassina, Marco, Yang, Y.
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The Journal of Pathology, EarlyView.Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen +14 more
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On Shape Optimization Theory With Fractional p-Laplacian Operators
Abstract and Applied AnalysisThe focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall +3 more
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Advances in Difference Equations, 2019 In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
Hasib Khan +4 more
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Characteristics of diabatically influenced cyclones with high wind damage potential in Europe
Quarterly Journal of the Royal Meteorological Society, EarlyView.Diabatic processes contribute, on average, 26% to the intensification of European winter storms, with diabatically driven cyclones exhibiting steeper deepening rates, stronger wind gusts, and increased precipitation. These storms are linked to enhanced warm conveyor belt (WCB) activity and develop in a warmer environment with elevated lower ...
Svenja Christ +2 more
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Journal of Function SpacesThe p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
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On fractional p-Laplacian problems with local conditions
Advances in Nonlinear Analysis, 2018 In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
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Quarterly Journal of the Royal Meteorological Society, EarlyView.This study presents improvements to the non‐hydrostatic version of the European Centre for Medium‐Range Weather Forecasts (ECMWF) Integrated Forecasting System (IFS), enabling stable global simulations at 1.4‐km resolution. A systematic comparison with the hydrostatic version at resolutions from 9 to 1.4 km shows that non‐hydrostatic effects emerge in ...
Jozef Vivoda +3 more
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Kirchhoff systems involving fractional p-Laplacian and singular nonlinearity
Electronic Journal of Differential Equations, 2022 In this work we consider the fractional Kirchhoff equations with singular nonlinearity, $$\displaylines{ M\Big( \int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+sp}}dx dy\Big) (-\Delta)^s_p u = \lambda a(x)|u|^{q-2}u +\frac{1-\alpha}{2-\alpha-\beta} c(x)|u|^{-\alpha}|v|^{1-\beta}, \quad \text{in }\Omega,\cr M\Big( \int_{\mathbb{R}^{2N}}\frac{|v(x)-v(
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