Results 61 to 70 of about 376,175 (295)

Reduced measures for semilinear elliptic equations involving Dirichlet operators [PDF]

, 2016
We consider elliptic equations of the form (E) $$-Au=f(x,u)+\mu $$-Au=f(x,u)+μ, where A is a negative definite self-adjoint Dirichlet operator, f is a function which is continuous and nonincreasing with respect to u and $$\mu $$μ is a Borel measure of ...
Tomasz Klimsiak
semanticscholar   +1 more source

Remarks on a semilinear elliptic equation on Rn

Journal of Differential Equations, 1988
On etudie l'equation elliptique semi-lineaire Δu−u+Q|u| P−1 u=0 dans R n , u≥0, u¬=0 dans R n et u→0 a l'infini avec p telle que ...
openaire   +2 more sources

A nonlinear characterization of stochastic completeness of graphs

Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.
Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley   +1 more source

On the wave turbulence theory of 2D gravity waves, I: Deterministic energy estimates

Communications on Pure and Applied Mathematics, Volume 78, Issue 2, Page 211-322, February 2025.
Abstract Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKEs) for water waves models. This problem has received intense attention in recent years in the context of semilinear models, such as Schrödinger equations or multidimensional KdV‐type equations. However, our situation
Yu Deng, Alexandru D. Ionescu, Fabio Pusateri   +2 more
wiley   +1 more source

Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

Selecciones Matemáticas, 2020
We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous ...
Marco Calahorrano, Israel Cevallos
doaj   +1 more source

Hermite solution for a new fractional inverse differential problem

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3811-3824, February 2025.
Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional 0<ρ≤1$$ 0<\rho \le 1 ...
Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani   +2 more
wiley   +1 more source

Existence and number of solutions to semilinear equations with applications to boundary-value problems

Electronic Journal of Differential Equations, 2000
solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj  

Multiple solutions for a class of semilinear elliptic equations [PDF]

arXiv, 2020
By using truncation technique, minimization method and Morse theory, we obtain three nontrivial solutions for a class of semilinear elliptic equations.
arxiv  

Dissipative Gradient Nonlinearities Prevent δ$\delta$‐Formations in Local and Nonlocal Attraction–Repulsion Chemotaxis Models

Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.
ABSTRACT We study a class of zero‐flux attraction–repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density u$u$, the chemosensitivities and the production rates of the chemoattractant v$v$ and the chemorepellent w$w$. In addition, a source involving also the gradient of u$u$ is incorporated.
Tongxing Li, Daniel Acosta‐Soba, Alessandro Columbu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Global solutions to semilinear parabolic equations driven by mixed local–nonlocal operators

Bulletin of the London Mathematical Society, Volume 57, Issue 1, Page 265-284, January 2025.
Abstract We are concerned with the Cauchy problem for the semilinear parabolic equation driven by the mixed local–nonlocal operator L=−Δ+(−Δ)s$\mathcal {L}= -\Delta +(-\Delta)^s$, with a power‐like source term. We show that the so‐called Fujita phenomenon holds, and the critical value is exactly the same as for the fractional Laplacian.
Stefano Biagi, Fabio Punzo, Eugenio Vecchi   +2 more
wiley   +1 more source