Results 11 to 20 of about 7,949 (154)
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
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Multiple Solutions of a Nonlocal Problem with Nonlinear Boundary Conditions
Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.In this article, we consider a class of nonlocal p(x)‐Laplace equations with nonlinear boundary conditions. When the nonlinear boundary involves critical exponents, using the concentration compactness principle, mountain pass lemma, and fountain theorem, we can prove the existence and multiplicity of solutions.
Jie Liu, Qing Miao, Rigoberto Medina
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Overcoming the High Error Rate of Composite DNA Letters-Based Digital Storage through Soft-Decision Decoding. [PDF]
Adv Sci (Weinh)This study devise Derrick‐cp, a cutting‐edge soft‐decision decoding algorithm, tailed for DNA Digital Storage (DDS) utilizing composite letters. It effectively tackles the high letter error rate from nucleotide errors and sampling bias, a barrier to the letters' application in DDS.
Xu Y, Ding L, Wu S, Ruan J.
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Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where $s \in (0,1)$,$ p \geq 2$,$ N \geq 2$, $(-\Delta)^{s ...
Ambrosio, Vincenzo
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Mobile and Self-Sustained Data Storage in an Extremophile Genomic DNA. [PDF]
Adv Sci (Weinh), 2023 In this study, a data storage system in Halomonas bluephagenesis genomes, which supports frequent and rapid data retrieval and automated data regeneration in non‐professional environments, are developed. This system expands the application scenarios of DNA data storage to frequent “warm data” accessing in household and field settings, and also ...
Sun F +6 more
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Mathematics, 2023 The present paper is devoted to establishing several existence results for infinitely many solutions to Schrödinger–Kirchhoff-type double phase problems with concave–convex nonlinearities.
Yun-Ho Kim, Taek-Jun Jeong
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Multiplicity Results of Solutions to Non-Local Magnetic Schrödinger–Kirchhoff Type Equations in
Axioms, 2022 In this paper, we establish the existence of a nontrivial weak solution to Schrödinger-kirchhoff type equations with the fractional magnetic field without Ambrosetti and Rabinowitz condition using mountain pass theorem under a suitable assumption of the ...
Kisoeb Park
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Existence and multiplications of solutions for a class of equation with a non-smooth potential [PDF]
Journal of Hyperstructures, 2015 This paper deals with the existence and multiplicity of solutions for a class of nonlocal p−Kirchhoff problem. Using the mountain pass theorem and fountain theorem, we establish the existence of at least one solution and infinitely many solutions for a ...
Fariba Fattahi, M. Alimohammady
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Existence and Multiplicity of Solutions for a Class of Anisotropic Double Phase Problems
Advances in Mathematical Physics, 2020 We consider the following double phase problem with variable exponents: −div∇upx−2∇u+ax∇uqx−2∇u=λfx,u in Ω,u=0, on ∂Ω. By using the mountain pass theorem, we get the existence results of weak solutions for the aforementioned problem under some ...
Jie Yang, Haibo Chen, Senli Liu
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A Century Ago the Stern–Gerlach Experiment Ruled Unequivocally in Favor of Quantum Mechanics
Israel Journal of Chemistry, Volume 63, Issue 7-8, August 2023., 2023 Abstract In 1921, Otto Stern conceived the idea for an experiment that would decide between a classical and a quantum description of atomic behavior, as epitomized by the Bohr–Sommerfeld–Debye model of the atom. This model entailed not only the quantization of the magnitude of the orbital electronic angular momentum but also of the projection of the ...
Bretislav Friedrich
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