Results 61 to 70 of about 34,591 (259)
Non-radial multipeak positive solutions for the Schrödinger–Poisson problem
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Long, Wei, Xiong, Zhiwei
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Morse index and uniqueness for positive solutions of radial $p$-Laplace equations [PDF]
The authors consider positive radial solutions to a radial \(p\)-Laplace equation on the unit ball with Dirichlet boundary conditions. Using the spectrum of the linearized operator in a weighted space of radial functions, they derive the Morse index and use it to prove uniqueness and nondegeneracy in some particular cases.
A. Aftalion, PACELLA, Filomena
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Radial Symmetry for Weak Positive Solutions of Fractional Laplacian with a Singular Nonlinearity [PDF]
This paper is concerned with the radial symmetry weak positive solutions for a class of singular fractional Laplacian. The main results in the paper demonstrate the existence and multiplicity of radial symmetry weak positive solutions by Schwarz spherical rearrangement, constrained minimization, and Ekeland’s variational principle. It is worth pointing
Xing Wang 0008, Li Zhang
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Objective Cam morphology, which is a significant risk factor for hip osteoarthritis, is commonly quantified by the alpha angle (AA). This study aims to explore the potential of the triangular index ratio (TIR) to quantify cam morphology on anteroposterior radiographs by assessing the association between TIR‐defined cam morphology and the development of
Jinchi Tang +7 more
wiley +1 more source
Asymptotic behavior of positive radial solutions to elliptic equations approaching critical growth
We study the asymptotic behavior of radially symmetric solutions to the subcritical semilinear elliptic problem $$\displaylines{ -\Delta u = u^{\frac{N+2}{N-2}}/[\log(e+u)]^{\alpha}\quad \text{in } \Omega=B_R(0)\subset\mathbb{R}^N,\cr u>0,\quad ...
Rosa Pardo, Arturo Sanjuan
doaj
Multiplicity of positive radial solutions of a quasilinear elliptic problem in a ball
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NJOKU F, OMARI, PIERPAOLO, ZANOLIN F.
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The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
wiley +1 more source
Existence of positive radial solutions for a weakly coupled system via blow up
The existence of positive solutions to certain systems of ordinary differential equations is studied. Particular forms of these systems are satisfied by radial solutions of associated partial differential equations.
Marta García-Huidobro +2 more
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