Results 101 to 110 of about 14,259 (205)

A link between the steepest descent method and fixed-point iterations. [PDF]

Optim Lett, 2023
Heid P.
europepmc   +1 more source

Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems

Journal of Mathematics, 2013
We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then ...
Zhenhua Hu, Shuqing Zhou
doaj   +1 more source

Entire solutions of quasilinear elliptic equations

Journal of Mathematical Analysis and Applications, 2009
The author studies the entire solutions of non-homogeneous quasilinear elliptic equations for which the following two may serve as typical examples: \[ \begin{aligned} \Delta_pu\equiv \text{div}(|Du|^{p-2}Du) &=f(u), \quad p>1,\;x\in\mathbb R^n, \tag{1}\\ \text{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) &=f(u), \quad x\in\mathbb R^n.
openaire   +2 more sources

Statistical finite elements for misspecified models. [PDF]

Proc Natl Acad Sci U S A, 2021
Duffin C, Cripps E, Stemler T, Girolami M.   +3 more
europepmc   +1 more source

Entire radial bounded solutions for Leray-Lions equations of (p, q)-type

Advances in Nonlinear Analysis
We prove the existence of entire, radial, and signed bounded solutions for a quasilinear elliptic equation in RN{{\mathbb{R}}}^{N} driven by a Leray-Lions operator of the (p, q)-type.
Mennuni Federica, Mugnai Dimitri, Salvatore Addolorata   +2 more
doaj   +1 more source

The relativistic Euler equations with a physical vacuum boundary: Hadamard local well-posedness, rough solutions, and continuation criterion. [PDF]

Arch Ration Mech Anal, 2022
Disconzi MM, Ifrim M, Tataru D.
europepmc   +1 more source

Harnack's inequality for doubly nonlinear equations of slow diffusion type. [PDF]

Calc Var Partial Differ Equ, 2021
Bögelein V, Heran A, Schätzler L, Singer T.   +3 more
europepmc   +1 more source

Unique continuation for solutions of p(x)-Laplacian equations

Electronic Journal of Differential Equations, 2012
We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(|abla u|^{p(x)-2}abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1<p(x)&
Johnny Cuadro, Gabriel Lopez G.
doaj  

Nontrivial solutions for resonance quasilinear elliptic systems

Advances in Nonlinear Analysis
We establish an Amann-Zehnder-type result for resonance systems of quasilinear elliptic equations with homogeneous Dirichlet boundary conditions, involving nonlinearities growing asymptotically (p,q)\left(p,q)-linear at infinity.
Borgia Natalino, Cingolani Silvia, Vannella Giuseppina   +2 more
doaj   +1 more source

WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS WITH ADVANCED GLYCATION END-PRODUCTS. [PDF]

Appl Anal, 2022
Xie X.
europepmc   +1 more source