Results 131 to 140 of about 11,664 (312)
Some remarks on biharmonic elliptic problems with positive, increasing and convex nonlinearities
Electronic Journal of Differential Equations, 2005 We study the existence of positive solutions for a fourth order semilinear elliptic equation under Navier boundary conditions with positive, increasing and convex source term. Both bounded and unbounded solutions are considered. When compared with second
Filippo Gazzola, Elvise Berchio
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Second Order Elliptic Systems of Differential Equations [PDF]
Proceedings of the National Academy of Sciences, 1953 openaire +4 more sources
On first and second order planar elliptic equations with degeneracies
Memoirs of the American Mathematical Society, 2011 This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series ...
openaire +2 more sources
Light‐Imprinted Chirality in Nanomaterials: From Principles to Applications
Advanced Science, EarlyView.Light‐induced chirality represents a transformative paradigm for fabricating chiral nanostructures. This review provides a comprehensive framework encompassing light‐based strategies for imprinting and tuning chirality in nanomaterials, which guides researchers in harnessing light to create next‐generation functional materials.
Xinru Jin +3 more
wiley +1 more source
Second order equations of elliptic and parabolic type [PDF]
, 1997 Most books on elliptic and parabolic equations emphasize existence and uniqueness of solutions. By contrast, this book focuses on the qualitative properties of solutions.
Landis, E M
core
Two‐Dimensional Triferroics: From Fundamental Couplings to Multifunctional Applications
Advanced Science, EarlyView.This graphic summarizes the three main types of currently reported 2D triferroic couplings. From the structural perspective, existing systems can be broadly classified into two categories, which exhibit distinct symmetry features and coupling behaviors. Beyond the lattice difference, a third type involves the interplay among ferroelectricity, magnetism,
Yang Li, Jialin Gong, Zhiqing Li
wiley +1 more source
Electronic Journal of Differential Equations, 2009 The Phragmen-Lindelof theorem for Lp-viscosity solutions of fully nonlinear second order elliptic partial differential equations with unbounded coefficients and inhomogeneous terms is established.
Kazushige Nakagawa, Shigeaki Koike
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Advanced Science, EarlyView.ABSTRACT Methane's efficient catalytic removal is vital for sustainable development. Bimetallic catalysts, though promising for methane activation, pose a design challenge due to their complex compositional space. This work introduces an integrated framework that combines high‐throughput density functional theory (DFT) and interpretable machine ...
Mingzhang Pan +8 more
wiley +1 more source
Advanced Science, EarlyView.STAU2 undergoes phase separation to form dynamic condensates that package target mRNAs and deliver them to the distal ends of growing neuronal dendrites. STAU2 condensates stabilize embedded mRNAs and repress their translation. Synaptic activity bidirectionally remodels STAU2 condensates, coordinating local translation of STAU2‐associated mRNAs ...
Shijing Huang +8 more
wiley +1 more source
Lower bounds at infinity for solutions to second order elliptic equations
Electronic Journal of Differential Equations, 2023 Tu Nguyen
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