Results 41 to 50 of about 1,915 (120)
Attainability of the fractional Hardy constant with nonlocal mixed boundary conditions. Applications
, 2017 The first goal of this paper is to study necessary and sufficient conditions to obtain the attainability of the \textit{fractional Hardy inequality } $$\Lambda_{N}\equiv\Lambda_{N}(\Omega):=\inf_{\{\phi\in \mathbb{E}^s(\Omega, D), \phi\neq 0\}} \dfrac ...
Abdellaoui, Boumediene +3 more
core +1 more source
Oscillations and unboundedness of solutions of superlinear-sublinear parabolic equations via Picone-type inequality [PDF]
, 2007 A Picone-type inequality is established for a class of superlinear-sublinear parabolic equations, and oscillatory behavior and unboundedness of solutions are investigated by using the Piconetype ...
Yoshida Norio
core +1 more source
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
A Local Estimate for the Maximal Function in Lebesgue Spaces with EXP‐Type Exponents
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 It is proven that if 1 ≤ p(·) < ∞ in a bounded domain Ω⊂Rn and if p(·) ∈ EXPa(Ω) for some a > 0, then given f ∈ Lp(·)(Ω), the Hardy‐Littlewood maximal function of f, Mf, is such that p(·)log(Mf) ∈ EXPa/(a+1)(Ω). Because a/(a + 1) < 1, the thesis is slightly weaker than (Mf) λp(·) ∈ L1(Ω) for some λ > 0. The assumption that p(·) ∈ EXPa(Ω) for some a > 0
Alberto Fiorenza, Henryk Hudzik
wiley +1 more source
Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
, 2017 We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
core +1 more source
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) $$, a highly nonlinear function, by arithmetic, upstream and harmonic means.
Daniele Bertaccini +3 more
wiley +1 more source
Sturm-Picone type theorems for nonlinear differential systems
Electronic Journal of Differential Equations, 2015 In this article, we establish a Picone-type inequality for a pair of first-order nonlinear differential systems. By using this inequality, we give Sturm-Picone type comparison theorems for these systems and a special class of second-order half-linear ...
Aydin Tiryaki
doaj
MathematicsThe aim of this paper is to demonstrate the existence of a unique positive solution to non-local fractional p-Laplacian equations of the Brézis–Oswald type involving Hardy potentials.
Yun-Ho Kim
doaj +1 more source
Nonlocal problems with critical Hardy nonlinearity
, 2018 By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.Comment:
Chen, Wenjing +2 more
core +1 more source
A uniqueness criterion for measure-valued solutions of scalar hyperbolic conservation laws
, 2018 We prove existence and uniqueness of Radon measure-valued solutions of the Cauchy problem $$ \begin{cases} u_t+[\varphi(u)]_x=0 & \text{in } \mathbb{R}\times (0,T) \\ u=u_0\ge 0 &\text{in } \mathbb{R}\times \{0\}, \end{cases} $$ where $u_0$ a positive ...
Bertsch, Michiel +3 more
core +1 more source