Results 51 to 60 of about 3,501,569 (379)
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations
International Journal of Mathematics and Mathematical Sciences, 2006 Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool.
Yang Zuodong
doaj +1 more source
A review of artificial intelligence in brachytherapy
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen +4 more
wiley +1 more source
Journal of Inequalities and Applications, 2006 Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications.
Takaŝi Kusano +2 more
doaj
Compactness methods for Hölder estimates of certain degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we obtain the interior $C^{1,\alpha}$ regularity of the quasilinear elliptic equations of divergence form. Our basic tools are the elementary local $L^\infty$ estimates and weak Harnack inequality for second-order linear elliptic equations,
Fengping Yao, Mijia Lai, Huilian Jia
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Due to the tight curvature in their design, ring applicators are usually associated with large positioning errors. The standard practice to correct for these deviations based on global offsets may not be sufficient to comply with the recommended tolerance.
Leon G. Aldrovandi +3 more
wiley +1 more source
Picone-type inequalities for nonlinear elliptic equations and their applications
Journal of Inequalities and Applications, 2001 Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano +2 more
doaj
Advanced Biology, EarlyView.Positively supercharged mGreenLatern protein is self‐assembled electrostatically with negatively charged zinc phthalocyanines to yield bio‐based photoactive materials in aqueous media. The addition of phthalocyanines results in the formation of large complexes fully quenching of the protein fluorescence. The results indicate an energy transfer from the
Sharon Saarinen +10 more
wiley +1 more source
Exact Solutions for Some Fractional Differential Equations
Advances in Mathematical Physics, 2015 The extended Jacobi elliptic function expansion method is used for solving fractional differential equations in the sense of Jumarie’s modified Riemann-Liouville derivative.
Abdullah Sonmezoglu
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Al-Mustansiriyah Journal of Science, 2019 This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy +1 more
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Elliptic-rogue waves and modulational instability in nonlinear soliton equations [PDF]
arXiv, 2023 We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in theta functions. Unlike solutions generated on the plane wave background, these solutions depict rogue waves emerging on elliptic function backgrounds. By refining the modified squared wave function method in tandem with the Darboux-B\"acklund transformation, we ...
arxiv