Results 161 to 170 of about 366,215 (335)
Multiple solutions for a nonlinear elliptic equation on ${\bf R}^N$ with nonlinear dependence on the gradient [PDF]
Chao-Nien Chen
openalex +1 more source
Regularity and separation for Grušin‐type p‐Laplace operators
Abstract We analyze p‐Laplace type operators with degenerate elliptic coefficients. This investigation includes Grušin‐type p‐Laplace operators. We describe a separation phenomenon in elliptic and parabolic p‐Laplace type equations, which provide an illuminating illustration of simple jump discontinuities of the corresponding weak solutions ...
Daniel Hauer, Adam Sikora
wiley +1 more source
Multiplicity results for nonlinear elliptic equations
Let $Omega$ be a bounded domain in $mathbb{R}^{N}$, $Ngeq 3$, and $p=frac{2N}{N-2}$ the limiting Sobolev exponent. We show that for $fin H^1_0(Omega)^ast$, satisfying suitable conditions, the nonlinear elliptic problem $$displaylines{ -Delta u =|u |^{ p ...
Samira Benmouloud+2 more
doaj
Dirichlet problems for mildly nonlinear elliptic difference equations
G. T. McAllister
openalex +1 more source
$W^1,p$-interior estimates for solutions of fully nonlinear, uniformly elliptic equations [PDF]
Andrzej Święch
openalex +1 more source
Nonlinear boundary conditions for elliptic equations
This work is devoted to the study of the elliptic equation $Delta u = f(x,u)$ in a bounded domain $Omegasubset mathbb{R}^n$ with a nonlinear boundary condition.
Osvaldo Mendez+2 more
doaj
Abstract Cyclodepsipeptides (CDPs) represent a huge family of chemically and structurally diverse molecules with a wide ability for molecular interactions. CDPs are cyclic peptide‐related natural products made up of both proteinogenic and nonproteinogenic amino acids linked by amide and ester bonds.
Sophie Liuu+10 more
wiley +1 more source
Nonlinear oscillation of a fourth order elliptic equation
Yuichi Kitamura, Takaŝi Kusano
openalex +1 more source
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane+2 more
wiley +1 more source