Results 31 to 40 of about 1,963 (215)

Liouville theorems for harmonic maps [PDF]

open access: yes, 1992
We prove several Liouville theorems for harmonic maps between certain classes of Riemannian manifolds. In particular, the results can be applied to harmonic maps from the Euclidean space ( R m , g 0 ) to a large class of Riemannian manifolds.
Jin, Zhiren
core   +1 more source

A proof of Liouville’s theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
1. S. Bochner, Group invariance of Cauchy's formula in several variables, Ann. of Math. vol. 45 (1944) pp. 686-707. 2. E. Heinz, Ein v. Neumannscher Satz iuber beschriinkte Operatoren im Hilbertschen Raum, Nachr. Akad. Wiss. Gottingen. Math.-Phys. Kl. Ila. (1952) pp. 5-6. 3. J.
openaire   +1 more source

Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]

open access: yes, 2013
The two-dimensional Hamiltonian system (*)  y'(x)=zJH(x)y(x),  x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek   +3 more
core   +1 more source

Quasilinear elliptic equations with critical potentials

open access: yesAdvances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

On a Theorem of Liouville's [PDF]

open access: yesProceedings of the London Mathematical Society, 1893
n ...
openaire   +1 more source

Extensions of a theorem of Cauchy–Liouville

open access: yesJournal of Mathematical Analysis and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CUCCU, FABRIZIO, MOHAMMED A, PORRU G.
openaire   +1 more source

Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations

open access: yesJournal of Function Spaces, 2021
The existence of three solutions for nonlinear operator equations is established via index theory for linear self-adjoint operator equations, critical point reduction method, and three critical points theorems obtained by Brezis-Nirenberg, Ricceri, and ...
Mingliang Song, Shuyuan Mei
doaj   +1 more source

The Partial Inverse Spectral and Nodal Problems for Sturm–Liouville Operators on a Star-Shaped Graph

open access: yesMathematics, 2022
We firstly prove the Horváth-type theorem for Sturm–Liouville operators on a star-shaped graph and then solve a new partial inverse nodal problem for this operator.
Xian-Biao Wei   +2 more
doaj   +1 more source

A Liouville theorem for Lévy generators [PDF]

open access: yesPositivity, 2020
AbstractUnder mild assumptions, we establish a Liouville theorem for the “Laplace” equation $$Au=0$$ A u = 0 associated with the infinitesimal generator A of a Lévy process: If u is a weak solution to $$Au=0$$
openaire   +2 more sources

Liouville theorems for elliptic systems and applications

open access: yes, 2014
We prove different Liouville theorems for several classes of quasilinear elliptic systems and ...
Lorenzo DʼAmbrosio   +4 more
core   +1 more source

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