Results 51 to 60 of about 1,351 (138)
Existence of multiple solutions for quasilinear elliptic equations in R^N
Electronic Journal of Differential Equations, 2014 In this article, we establish the multiplicity of positive weak solution for the quasilinear elliptic equation $$\displaylines{ -\Delta_p u+\lambda|u|^{p-2}u=f(x) |u|^{s-2 }u+h(x)|u|^{r-2}u\quad x\in \mathbb{R}^N,\cr u>0\quad x\in \mathbb{R}^N ...
Honghui Yin, Zuodong Yang
doaj
AGU Advances, Volume 7, Issue 4, August 2026.Abstract Wave‐particle resonance is a key mechanism for energy transfer in collisionless plasmas with important implications for wave excitation and particle acceleration. Cyclotron resonance occurs when a particle's gyromotion synchronizes with the wave fields, with their interactions usually describable by quasilinear diffusion or nonlinear trapping.
Jing‐Huan Li +14 more
wiley +1 more source
Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces
Journal of Mathematics, 2022 It has been shown that the class of fuzzy sets has a quasilinear space structure. In addition, various norms are defined on this class, and it is given that the class of fuzzy sets is a normed quasilinear space with these norms.
Yılmaz Yılmaz +3 more
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Low eigenvalues of the p$p$–Laplacian in general open sets
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We consider the minmax Ljusternik–Schnirelmann levels of the constrained p$p$–Dirichlet integral on a general open set of the Euclidean space. We show that, whenever one of these levels lies below the threshold given by the Lp$L^p$ Poincaré constant “at infinity,” it actually defines an eigenvalue of the Dirichlet p$p$–Laplacian. We also prove
Lorenzo Brasco +2 more
wiley +1 more source
Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 11775-11793, 30 July 2026.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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Bregman Wave Distribution Function Method
Radio Science, Volume 61, Issue 7, July 2026.Abstract This study proposes a wave distribution function (WDF) estimation method based on minimizing the Bregman divergence in the function space. The proposed method is entirely data‐driven and requires no hyperparameter tuning during the estimation process. It can be regarded as an extension of the maximum entropy method.
Ryosei Nakazawa +2 more
wiley +1 more source
A general theory of inverse welfare functions
Theoretical Economics, Volume 21, Issue 3, Page 973-1018, July 2026.This paper develops a general theory to recover the inverse welfare function that rationalizes a given tax schedule as optimal. Our theory allows for complex environments including the presence of multidimensional tax schedules, bunching/jumping behavior, optimization frictions, general equilibrium effects, and externalities.
Katy Bergstrom, William Dodds
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Existence of a unique solution to an elliptic partial differential equation
Electronic Journal of Differential Equations, 2019 The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj
On the local integrability and boundedness of solutions to quasilinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 We introduce a structure condition of parabolic type, which allows for the generalization to quasilinear parabolic systems of the known results of integrability, and boundedness of local solutions to singular and degenerate quasilinear parabolic ...
T. Giorgi, M. O'Leary
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Advanced Engineering Materials, Volume 28, Issue 11, 3 June 2026.Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek +5 more
wiley +1 more source