Results 31 to 40 of about 14,416 (203)

On some properties of a system of nonlinear partial functional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2016
We consider a system of a semilinear hyperbolic functional differential equation (where the lower order terms contain functional dependence on the unknown function) with initial and boundary conditions and a quasilinear elliptic functional differential ...
László Simon
doaj   +1 more source

Multiple perturbations of a singular eigenvalue problem

, 2015
We study the perturbation by a critical term and a $(p-1)$-superlinear subcritical nonlinearity of a quasilinear elliptic equation containing a singular potential. By means of variational arguments and a version of the concentration-compactness principle
Cencelj, Matija, Repovš, Dušan, Virk, Žiga   +2 more
core   +1 more source

Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term [PDF]

, 2015
In this paper we consider the problem u in H^1_0 (Omega), - div (A(x) Du) = H(x, u, Du) + f(x) + a_0 (x) u in D'(Omega), where Omega is an open bounded set of R^N, N \geq 3, A(x) is a coercive matrix with coefficients in L^\infty(Omega), H(x, s, xi) is a
Hamour, Boussad, Murat, François
core   +5 more sources

Operator compact exponential approximation for the solution of the system of 2D second order quasilinear elliptic partial differential equations

Advances in Difference Equations, 2019
In this paper, we suggest a new exponential implicit method based on full step discretization of order four for the solution of quasilinear elliptic partial differential equation of the form A(x,y,z)zxx+C(x,y,z)zyy=k(x,y,z,zx,zy) $A ( x,y,z ) z_{xx} +C (
R. K. Mohanty, Geetan Manchanda, Arshad Khan   +2 more
doaj   +1 more source

Global regularity of weak solutions to quasilinear elliptic and parabolic equations with controlled growth

, 2010
We establish global regularity for weak solutions to quasilinear divergence form elliptic and parabolic equations over Lipschitz domains with controlled growth conditions on low order terms.
Arkhipova A.A., Arkhipova A.A., Bögelein V., Bögelein V., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Campanato S., Chiarenza F., De Giorgi E., Dong H., Doyoon Kim, Duzaar F., Feng Z., Gehring F., Giaquinta M., Giaquinta M., Hongjie Dong, Ladyženskaja O.A., Lieberman G.M., Marino M., Palagachev D., Palagachev D., Pulvirenti G., Stará J.   +26 more
core   +1 more source

The Calderón problem for quasilinear elliptic equations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020
In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce ...
Gunther Uhlmann, Claudio Muñoz
openaire   +4 more sources

Asymptotic behavior of multiple solutions for quasilinear Schrödinger equations

Electronic Journal of Qualitative Theory of Differential Equations, 2022
This paper establishes the multiplicity of solutions for a class of quasilinear Schrödinger elliptic equations: \begin{equation*} -\Delta u+V(x)u-\frac{\gamma}{2}\Delta(u^{2})u=f(x,u),\qquad x\in \mathbb{R}^{3}, \end{equation*} where $V(x):\mathbb{R}^3 ...
Xian Zhang, Chen Huang
doaj   +1 more source

Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type [PDF]

, 2003
In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $\lambda\in (0 ...
Xuan, Benjin
core   +4 more sources

(N,q)$(N,q)$‐Laplacian equations with one‐sided critical exponential growth

Mathematische Nachrichten, Volume 299, Issue 3, Page 675-698, March 2026.
Abstract We prove the existence of two non‐trivial weak solutions for a class of quasilinear, non‐homogeneous elliptic problems driven by the (N,q)$(N,q)$‐Laplacian with one‐sided critical exponential growth in a bounded domain Ω⊂RN$\Omega \subset \mathbb {R}^{N}$. The first solution is obtained as a local minimizer of the associated energy functional;
Elisandra Gloss, Hector Pereira, Bruno Ribeiro   +2 more
wiley   +1 more source

Some regularity results for anisotropic motion of fronts [PDF]

, 2002
We study the regularity of propagating fronts whose motion is anisotropic. We prove that there is at most one normal direction at each point of the front; as an application, we prove that convex fronts are C^{1,1}.
Imbert, Cyril
core   +1 more source