Results 91 to 100 of about 497 (183)

$$L^p_{loc}$$ Positivity Preservation and Liouville-Type Theorems

The Journal of Geometric Analysis
AbstractOn a complete Riemannian manifold (M, g), we consider$$L^{p}_{loc}$$Llocpdistributional solutions of the differential inequality$$-\Delta u + \lambda u \ge 0$$-Δu+λu≥0with$$\lambda >0$$λ>0a locally bounded function that may decay to 0 at infinity.
Bisterzo, A, Farina, A, Pigola, S
openaire   +3 more sources

A Liouville type theorem for \(p\)-Laplace equations

Electronic Journal of Differential Equations, 2015
Summary: In this note we study solutions defined on the whole space \(\mathbb R^N\) for the \(p\)-Laplace equation \[ \operatorname{div}(| \nabla u|^{p-2}\nabla u)+f(u)=0. \] Under an appropriate condition on the growth of \(f\), which is weaker than conditions previously considered in [\textit{J. A. McCoy}, Differ. Integral Equ. 20, No. 10, 1153--1166
openaire   +2 more sources

Gradient estimates and Liouville-type theorems for a weighted nonlinear elliptic equation. [PDF]

J Inequal Appl, 2018
Ma B, Dong Y.
europepmc   +1 more source

Existence of solutions for a two-point boundary-value problem of a fourth-order Sturm-Liouville type

Electronic Journal of Differential Equations, 2012
In this work, we establish the existence of two intervals for a parameter $lambda$ for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to $lambda$.
Shapour Heidarkhani
doaj  

Solvability of a Riemann–Liouville-Type Fractional-Impulsive Differential Equation with a Riemann–Stieltjes Integral Boundary Condition

Fractal and Fractional
In this work, we address the solvability of a Riemann–Liouville-type fractional-impulsive integral boundary value problem. Under some conditions on the spectral radius corresponding to the related linear operator, we use fixed-point methods to obtain ...
Keyu Zhang, Donal O’Regan, Jiafa Xu
doaj   +1 more source

A New Proof of a Liouville-Type Theorem for Polyharmonic Functions

Real Analysis Exchange, 2005
The author gives simple proofs of Pizetti's formula and as a corollary, the Liouville theorem for polyharmonic functions.
openaire   +3 more sources

Stability of Delay Hopfield Neural Networks with Generalized Riemann-Liouville Type Fractional Derivative. [PDF]

Entropy (Basel), 2023
Agarwal RP, Hristova S.
europepmc   +1 more source

Dynamic analysis of the fractional distributed delay models. [PDF]

Sci Rep
El-Saka HAA, El-Sherbeny DEA, El-Sayed AMA.   +2 more
europepmc   +1 more source

Investigation of a Lyapunov delta-type inequality with respect to a discrete fractional Green's function. [PDF]

Sci Rep
Mohammed PO, Arab M.
europepmc   +1 more source

Liouville type theorems for generalized P-harmonic maps

Arabian Journal of Mathematics
AbstractSome theorems of Liouville type are given for such P-harmonic maps when target manifold have conformal vector field or convex function or have non-positive sectional curvature.
openaire   +1 more source