Results 31 to 40 of about 117 (104)

Bifurcation for indefinite‐weighted p$p$‐Laplacian problems with slightly subcritical nonlinearity

Mathematische Nachrichten, Volume 297, Issue 11, Page 3982-4002, November 2024.
Abstract We study a superlinear elliptic boundary value problem involving the p$p$‐Laplacian operator, with changing sign weights. The problem has positive solutions bifurcating from the trivial solution set at the two principal eigenvalues of the corresponding linear weighted boundary value problem.
Mabel Cuesta, Rosa Pardo
wiley   +1 more source

Sturm-Picone type theorems for nonlinear differential systems

Electronic Journal of Differential Equations, 2015
In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
doaj  

Uniqueness of Positive Solutions to Non-Local Problems of Brézis–Oswald Type Involving Hardy Potentials

Mathematics
The aim of this paper is to demonstrate the existence of a unique positive solution to non-local fractional p-Laplacian equations of the Brézis–Oswald type involving Hardy potentials.
Yun-Ho Kim
doaj   +1 more source

Why diffusion‐based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale

Numerical Linear Algebra with Applications, Volume 31, Issue 1, January 2024.
Abstract We consider here a cell‐centered finite difference approximation of the Richards equation in three dimensions, averaging for interface values the hydraulic conductivity K=K(p)$$ K=K(p) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini, Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone   +3 more
wiley   +1 more source

A Brézis–Oswald-Type Result for the Fractional (r, q)-Laplacian Problems and Its Application

Fractal and Fractional
This study derives the uniqueness of positive solutions to Brézis–Oswald-type problems involving the fractional (r,q)-Laplacian operator and discontinuous Kirchhoff-type coefficients.
Yun-Ho Kim, In Hyoun Kim
doaj   +1 more source

Existence and Uniqueness of Positive Solutions to Fractional Problems of Brézis–Oswald-Type with Unbalanced Growths and Hardy Potentials

Fractal and Fractional
The aim of this paper is to establish the existence and uniqueness of positive solutions to the non-local Brézis–Oswald-type fractional problems that involve fractional (r,q)-Laplace operators and Hardy potentials. In particular, we observe an eigenvalue
Yun-Ho Kim
doaj   +1 more source

Abstract Book: 25th Congress of the European Hematology Association Virtual Edition, 2020

, 2020
HemaSphere, Volume 4, Issue S1, Page 1-1168, June 2020.
wiley   +1 more source

Picone's identity for a system of first-order nonlinear partial differential equations

Electronic Journal of Differential Equations, 2013
We established a Picone identity for systems of nonlinear partial differential equations of first-order. With the help of this formula, we obtain qualitative results such as an integral inequality of Wirtinger type and the existence of zeros for the ...
Jaroslav Jaros
doaj  

On Bobkov-Tanaka type spectrum for the double-phase operator

Advanced Nonlinear Studies
Moving from the seminal papers by Bobkov and Tanaka [“On positive solutions for (p, q)-Laplace equations with two parameters,” Calc. Var. Partial Differ. Equ., vol. 54, pp.
Gambera Laura, Guarnotta Umberto
doaj   +1 more source

Eigenvalues of the -Laplacian and disconjugacy criteria

Journal of Inequalities and Applications, 2006
We derive oscillation and nonoscillation criteria for the one-dimensional -Laplacian in terms of an eigenvalue inequality for a mixed problem. We generalize the results obtained in the linear case by Nehari and Willett, and the proof is based on a ...
Pinasco Juan P, De Napoli Pablo L
doaj