Results 21 to 30 of about 203 (82)
Variational inequalities for energy functionals with nonstandard growth conditions
Abstract and Applied Analysis, Volume 3, Issue 1-2, Page 41-64, 1998., 1998 We consider the obstacle problem for a given function and a bounded Lipschitz domain O in Rn. The growth properties of the convex integrand G are described in terms of a N‐function A : [0, 8)?[0, 8) with . If n = 3, we prove, under certain assumptions on G, C1,8‐partial regularity for the solution to the above obstacle problem.
Martin Fuchs, Li Gongbao
wiley +1 more source
Local and Global Existence of Strong Solutions to Large Cross Diffusion Systems
Advanced Nonlinear Studies, 2018 We study the solvability of a general class of cross diffusion systems and establish the local and global existence of their strong solutions under the weakest assumption that they are VMO.
Le Dung
doaj +1 more source
A result on the bifurcation from the principal eigenvalue of the Ap‐Laplacian
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 185-195, 1997., 1997 We study the following bifurcation problem in any bounded domain Ω in ℝN: . We prove that the principal eigenvalue λ1 of the eigenvalue problem is a bifurcation point of the problem mentioned above.
P. Drábek, A. Elkhalil, A. Touzani
wiley +1 more source
Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues
Advances in Nonlinear Analysis, 2022 We consider the Dirichlet problem for partial trace operators which include the smallest and the largest eigenvalue of the Hessian matrix. It is related to two-player zero-sum differential games. No Lipschitz regularity result is known for the solutions,
Vitolo Antonio
doaj +1 more source
Weak solutions of degenerated quasilinear elliptic equations of higher order
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 689-706, 1996., 1995 We prove the existence of weak solutions of higher order degenerated quasilinear elliptic equations. The main tools are the degree theory for generalized monotone mappings and imbedding theorems between weighted Sobolev spaces. The straightforward use of these imbeddings allows us to consider more general assumptions than those in our preceding paper ...
Pavel Drábek +2 more
wiley +1 more source
Open Mathematics, 2017 We have investigated the behaviour of solutions of elliptic quasi-linear problems in a neighbourhood of boundary singularities in bounded and unbounded domains. We found exponents of the solution’s decreasing rate near the boundary singularities.
Bodzioch Mariusz +2 more
doaj +1 more source
Large solutions of a class of degenerate equations associated with infinity Laplacian
Advanced Nonlinear Studies, 2022 In this article, we investigate the boundary blow-up problem Δ∞hu=f(x,u),inΩ,u=∞,on∂Ω,\left\{\begin{array}{ll}{\Delta }_{\infty }^{h}u=f\left(x,u),& {\rm{in}}\hspace{0.33em}\Omega ,\\ u=\infty ,& {\rm{on}}\hspace{0.33em}\partial \Omega ,\end{array}\right.
Li Cuicui, Liu Fang
doaj +1 more source
Dynamic systems and applications, 2018 In this paper we study the dynamics of global attractor of a semilinear parabolic equation involving Grushin operators. First we show that the global attractor is bounded in L(Ω) and D(A).
Jihoon Lee
semanticscholar +1 more source
Anisotropic problems with unbalanced growth
Advances in Nonlinear Analysis, 2020 The main purpose of this paper is to study a general class of (p, q)-type eigenvalues problems with lack of compactness. The reaction is a convex-concave nonlinearity described by power-type terms.
Alsaedi Ahmed, Ahmad Bashir
doaj +1 more source
Nonanalytic-hypoellipticity for some degenerate elliptic operators
, 1972 35J70; 35A05.
M. S. Baouendi, C. Goulaouic
semanticscholar +1 more source