Results 21 to 30 of about 722,193 (223)
Electronic Research ArchiveIn this paper, we prove the existence of solutions for an elliptic system. More precisely, we combine the potential theory with the sub-super solution method and use the properties of the well-known Kato class to justify our existence results.
Abdeljabbar Ghanmi +2 more
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Multidimensional analogues of the Riemann–Hilbert boundary value problem
Mathematical Modelling and Analysis, 2007 Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
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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
FEBS Open Bio, EarlyView.Osimertinib reduces angiogenesis and PDL1 expression in in ovo tumors, transforming them into ‘cold tumors’ with lower immune activity. Anatomopathological and transcriptomic analyses highlight its therapeutic impact on tumor biology. This study underscores osimertinib's potential to reshape the tumor microenvironment and provides insights into its ...
David Barthélémy +14 more
wiley +1 more source
Exact solutions by integrals of the non-stationary elliptic Calogero-Sutherland equation [PDF]
Journal of Integrable Systems (2020) 4, 1-26, 2019 We use generalized kernel functions to construct explicit solutions by integrals of the non-stationary Schr\"odinger equation for the Hamiltonian of the elliptic Calogero-Sutherland model (also known as elliptic Knizhnik-Zamolodchikov-Bernard equation). Our solutions provide integral represenations of elliptic generalizations of the Jack polyomials.
arxiv +1 more source
Identification of inhibitors of the Salmonella FraB deglycase, a drug target
FEBS Open Bio, EarlyView.A high‐throughput screen was used to identify inhibitors of Salmonella FraB, a drug target. Characterization of top hits (identified after an additional counter screen) revealed that some triazolidines, thiadiazolidines, and triazolothiadiazoles are mixed‐type inhibitors of FraB.
Jamison D. Law +6 more
wiley +1 more source
An elliptic system with degenerate coercivity [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2015 We study the existence of solutions of a class of degererate elliptic systems.
Lucio Boccardo +2 more
doaj
Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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Establishment and biological characterization of radioresistant colorectal cancer cell lines
FEBS Open Bio, EarlyView.Under ionizing radiation exposure, radiation‐sensitive cancer cells exhibit oxidative stress and DNA damage, while radiation‐resistant cancer cells exhibit strong antioxidant properties and DNA damage repair. Radiotherapy resistance is a major cause of recurrence and metastasis in colorectal cancer (CRC).
Tian‐Yin Qu +10 more
wiley +1 more source
Positive solutions for semilinear elliptic systems with sign-changing potentials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we study the existence of positive solutions of the Dirichlet problem -Δu = λ p(x)f(u; v) ; -Δv = λ q(x)g(u; v); in D, and u = v = 0 on ∂∞D, where D ⊂ Rn (n ≥ 3) is an C1,1-domain with compact boundary and λ > 0. The potential functions p;
Zeddini Noureddine, Ben Dkhil Adel
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