Results 21 to 30 of about 105 (98)
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
wiley +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
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
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
doaj +1 more source
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
doaj +1 more source
On some nonlinear elliptic systems with coercive perturbations in RN
, 2003 A nonlinear elliptic system involving the p-Laplacian is considered in the whole RN: Existence of nontrivial solutions is obtained by applying critical point theory; also a regularity result is established.A nonlinear elliptic system involving the p ...
El Manouni, Said, Touzani, Abdelfattah
core +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
The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form [PDF]
, 2007 2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied.
Rangelov, Tsviatko +2 more
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