Results 21 to 30 of about 109 (99)
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
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
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
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Nonlinear Neumann Boundary Conditions for Quasilinear Degenerate Elliptic Equations and Applications [PDF]
, 1999 We prove comparison results between viscosity sub and supersolutions of degenerate elliptic and parabolic equations associated to, possibly nonlinear, Neumann boundary conditions. These results are obtained under more general assumptions on the equation (
Barles, Guy, Guy Barles
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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
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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
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Existence results for nonlinear degenerate elliptic equations with lower order terms
Advances in Nonlinear Analysis, 2020 In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [
Zou Weilin, Li Xinxin
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On the logarithm of the minimizing integrand for certain variational problems in two dimensions [PDF]
, 2020 Let be a smooth convex homogeneous function of degree , 1 < < ∞, on ℂ ∖ {0}. We show that if is a minimizer for the functional whose integrand is (∇ ), in a certain subclass of the Sobolev space 1, (Ω), and ∇ ∕ = 0 at ∈ Ω, then in a neighborhood of
Andrew Vogel, John L Lewis, Murat Akman
core
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
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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
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