Results 31 to 40 of about 1,989 (226)

Existence and nonexistence of solutions for elliptic problems with multiple critical exponents

open access: yesOpen Mathematics, 2023
In this article, the existence and nonexistence of solutions for the quasilinear elliptic equations involving multiple critical terms under Dirichlet boundary conditions on bounded smooth domains Ω⊂RN(N≥3)\Omega \subset {R}^{N}(N\ge 3) are proved by ...
Li Yuanyuan
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen   +3 more
wiley   +1 more source

Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

open access: yes, 2015
We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2.
VANNELLA, Giuseppina   +5 more
core   +1 more source

A weak comparison principle for some quasilinear elliptic operators: it compares functions belonging to different spaces [PDF]

open access: yes, 2018
summary:We shall prove a weak comparison principle for quasilinear elliptic operators $-{\rm div}(a(x,\nabla u))$ that includes the negative $p$-Laplace operator, where $a\colon \Omega \times \Bbb R^N \rightarrow \Bbb R^N$ satisfies certain conditions ...
Unai, Akihito
core   +1 more source

Multiplicity of Positive Solutions for Weighted Quasilinear Elliptic Equations Involving Critical Hardy-Sobolev Exponents and Concave-Convex Nonlinearities

open access: yesAbstract and Applied Analysis, 2012
By variational methods and some analysis techniques, the multiplicity of positive solutions is obtained for a class of weighted quasilinear elliptic equations with critical Hardy-Sobolev exponents and concave-convex nonlinearities.
Tsing-San Hsu, Huei-Li Lin
doaj   +1 more source

Random Carbon Tax Policy and Investment Into Emission Abatement Technologies

open access: yesMathematical Finance, EarlyView.
ABSTRACT We analyze the problem of a profit‐maximizing electricity producer, subject to carbon taxes, who decides on investments into CO2$\rm CO_2$ abatement technologies. We assume that the carbon tax policy is random and that the investment in the abatement technology is divisible, irreversible, and subject to transaction costs.
Katia Colaneri   +2 more
wiley   +1 more source

The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications

open access: yes, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, X.   +5 more
core   +1 more source

Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
Bui The Anh
doaj   +1 more source

Strong Maximum Principle for Some Quasilinear Dirichlet Problems Having Natural Growth Terms

open access: yesAdvanced Nonlinear Studies, 2020
In this paper, dedicated to Laurent Veron, we prove that the Strong Maximum Principle holds for solutions of some quasilinear elliptic equations having lower order terms with quadratic growth with respect to the gradient of the solution.
Boccardo Lucio, Orsina Luigi
doaj   +1 more source

Analysis of Chorus Wave Power on Burst‐Mode Timescales During the Van Allen Probes Era

open access: yesJournal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract Interactions between whistler‐mode chorus waves and electrons are a key driver of dynamics in Earth's radiation belts. These global dynamics are often described using Fokker‐Planck diffusion models. Whilst, in many cases, such models effectively describe the large scale changes within the region, they often rely upon spatially and temporally ...
R. Black   +4 more
wiley   +1 more source

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