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Classification of positive smooth solutions to third-order PDEs involving fractional Laplacians
Pacific Journal of Mathematics, 2018This authors study a third-order conformal invariant equation with critical nonlinearity and a third-order critical static Hartree equation with nonlocal nonlinearity. By showing the equivalence between PDE and a integral equation, using some results in [\textit{W. Chen} et al., Commun. Pure Appl. Math. 59, No.
Dai, Wei, Qin, Guolin
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Qualitative properties of positive solutions to nonlinear pde and FBP
Nonlinear Analysis: Theory, Methods & Applications, 1996The general goal of the paper is to study the qualitative properties of positive solutions of nonlinear divergence form elliptic equations \[ \nabla\cdot A(x,u,Du)+B(x,u,Du)=0,\quad x\in \Omega\subset\mathbb{R}^N,\quad N\geq 2. \] Applying the moving plane procedure of Aleksandrov, the author establishes star-shapedness of the level sets in certain ...
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2013
We consider a system of nonlinear PDEs describing the reaction-diffusion dynamics near a triple-phase boundary in the catalyst layer of hydrogen fuel cells. The system involves bulk diffusion and surface reaction-diffusion processes and is an approximation of a model with a thin layer.
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We consider a system of nonlinear PDEs describing the reaction-diffusion dynamics near a triple-phase boundary in the catalyst layer of hydrogen fuel cells. The system involves bulk diffusion and surface reaction-diffusion processes and is an approximation of a model with a thin layer.
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Machine Learning in IoT Security: Current Solutions and Future Challenges
IEEE Communications Surveys and Tutorials, 2020Rasheed Hussain +2 more
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Electrolyte solutions design for lithium-sulfur batteries
Joule, 2021Ruqiang Zou, Quanquan Pang
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Models of polymer solutions in electrified jets and solution blowing
Reviews of Modern Physics, 2020Marco Lauricella +2 more
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Ion Dissociation in Ionic Liquids and Ionic Liquid Solutions
Chemical Reviews, 2020Joan F Brennecke
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Theory of polyelectrolytes in solutions and at surfaces
Progress in Polymer Science, 2005Andrey V Dobrynin
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A Survey on Adaptive 360° Video Streaming: Solutions, Challenges and Opportunities
IEEE Communications Surveys and Tutorials, 2020Abid Yaqoob +2 more
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