Results 21 to 30 of about 383 (141)

Existence results for Dirichlet double phase differential inclusions

, 2023
In this paper we consider a class of double phase differential inclusions. The variational formulation of the problem gives rise to a so-called hemivariational inequality and the corresponding energy functional is not differentiable.
Shengda Zeng, Nicusor Costea, ZENG, Shengda, COSTEA, Nicușor   +3 more
core   +1 more source

Multiscale homogenization of a class of nonlinear equations with applications in lubrication theory and applications

Journal of Function Spaces, Volume 9, Issue 1, Page 17-40, 2011., 2011
We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε → 0 of the solutions uε of the nonlinear equation div⁡aε(x, ∇uε) = div⁡bε, where both aε and bε oscillate rapidly on several microscopic scales and aε satisfies certain continuity, monotonicity and
Andreas Almqvist, Emmanuel Kwame Essel, John Fabricius, Peter Wall, Björn Birnir   +4 more
wiley   +1 more source

Multiple solutions to a nonlinear elliptic equation involving Paneitz type operators

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 46, Page 2453-2472, 2004., 2004
This paper deals with an elliptic equation involving Paneitz type operators on compact Riemannian manifolds with concave‐convex nonlinearities and a real parameter. Nonlocal and multiple existence results are established. Characteristic values of the real parameter are introduced and their role in the change of the energy sign and the existence of ...
Abdallah El Hamidi
wiley   +1 more source

On the economical solution method for a system of linear algebraic equations

Mathematical Problems in Engineering, Volume 2004, Issue 4, Page 377-410, 2004., 2004
The present work proposes a novel optimal and exact method of solving large systems of linear algebraic equations. In the approach under consideration, the solution of a system of algebraic linear equations is found as a point of intersection of hyperplanes, which needs a minimal amount of computer operating storage. Two examples are given.
Jan Awrejcewicz, Vadim A. Krysko, Anton V. Krysko   +2 more
wiley   +1 more source

Existence and multiplicity of solutions to the Navier boundary value problem for a class of (p(x), q(x))-biharmonic systems

, 2020
In this article, we study the following problem with Navier boundary conditions. ∆(a(x, ∆u)) = Fu(x, u, v), in Ω ∆(a(x, ∆v)) = Fv (x, u, v), in Ω, u = v = ∆u = ∆v = 0 on ∂Ω.
TSOULI, Najib, BELAOUIDEL, Hassan, OURRAOUI, Anass   +2 more
core   +1 more source

Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group

Abstract and Applied Analysis, Volume 2004, Issue 2, Page 155-164, 2004., 2004
We establish nonexistence results to systems of differential inequalities on the (2N + 1)‐Heisenberg group. The systems considered here are of the type (ESm). These nonexistence results hold for N less than critical exponents which depend on pi and γi, 1 ≤ i ≤ m. Our results improve the known estimates of the critical exponent.
Abdallah El Hamidi, Mokhtar Kirane
wiley   +1 more source

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
doaj   +1 more source

A finite‐dimensional reduction method for slightly supercritical elliptic problems

Abstract and Applied Analysis, Volume 2004, Issue 8, Page 683-689, 2004., 2004
We describe a finite‐dimensional reduction method to find solutions for a class of slightly supercritical elliptic problems. A suitable truncation argument allows us to work in the usual Sobolev space even in the presence of supercritical nonlinearities: we modify the supercritical term in such a way to have subcritical approximating problems; for ...
Riccardo Molle, Donato Passaseo
wiley   +1 more source

HARDY-SOBOLEV INEQUALITIES AND HYPERBOLIC SYMMETRY

, 2008
. — We discuss uniqueness and nondegeneracy of extremals for some weighted Sobolev inequalities and give some applications to Grushin and scalar curvature type equations. The main theme is hyperbolic symmetry.
and Fabbri I., Castorina D, Castorina, Daniele, Fabbri, Isabella, and Sandeep K., Sandeep, Kunnath, and Mancini G., SANDEEP KUNNATH, MANCINI, Giovanni, Kunnath Sandeep, Isabella Fabbri, Giovanni Mancini, FABBRI ISABELLA, Daniele Castorina, CASTORINA DANIELE   +14 more
core   +1 more source