Results 61 to 70 of about 15,291 (210)

Nontrivial solutions of variational inequalities. The degenerate case [PDF]

, 2001
We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core  

REGULARITY OF SOLUTIONS OF NONLINEAR PARABOLIC EQUATIONS

Demonstratio Mathematica, 2001
The author studies the smoothness of the solutions for the Cauchy problem of the type \[ \dot{u}+ A u=F(u), \quad t>0, \qquad u(0)=u_0 \] where \(A\) is an abstract counterpart of an elliptic operator. It is obtained a necessary and sufficient condition or higher-order regularity of solutions for that problem.
openaire   +2 more sources

Precise Morrey regularity of the weak solutions to a kind of quasilinear systems with discontinuous data

Electronic Journal of Qualitative Theory of Differential Equations, 2020
We consider the Dirichlet problem for a class of quasilinear elliptic systems in domain with irregular boundary. The principal part satisfies componentwise coercivity condition and the nonlinear terms are Carathéodory maps having Morrey regularity in $x$
Luisa Fattorusso, Lubomira Softova
doaj   +1 more source

Functional differential equations with unbounded delay in extrapolation spaces

Electronic Journal of Differential Equations, 2014
We study the existence, regularity and stability of solutions for nonlinear partial neutral functional differential equations with unbounded delay and a Hille-Yosida operator on a Banach space X.
Mostafa Adimy, Mohamed Alia, Khalil Ezzinbi   +2 more
doaj  

Boundary regularity for nonlinear elliptic systems

, 2002
We consider questions of boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations. We obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point.
Grotowski, J. F.
core   +1 more source

Regularity results for nonlocal fully nonlinear elliptic equations

, 2013
Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core  

Optimal Interior Partial Regularity for Nonlinear Elliptic Systems for the Case under Natural Growth Condition

Journal of Inequalities and Applications, 2010
We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition.
Tan Zhong, Chen Shuhong
doaj  

Existence and Multiplicity of Solutions for Resonant (p,2)-Equations

Advanced Nonlinear Studies, 2018
We consider Dirichlet elliptic equations driven by the sum of a p-Laplacian ...
Papageorgiou Nikolaos S., Rădulescu Vicenţiu D., Repovš Dušan D.   +2 more
doaj   +1 more source

Existence of positive solutions for nonlinear Dirichlet problems with gradient dependence and arbitrary growth

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We consider a nonlinear elliptic problem driven by the Dirichlet $p$-Laplacian and a reaction term which depends also on the gradient (convection). No growth condition is imposed on the reaction term $f(z, \cdot,y)$.
Nikolaos Papageorgiou, Calogero Vetro, Francesca Vetro   +2 more
doaj   +1 more source

On Morrey and BMO regularity for gradients of weak solutions to nonlinear elliptic systems with non-differentiable coefficients

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider weak solutions to nonlinear elliptic systems with non-differentiable coefficients which principal parts are split into linear and nonlinear ones. Assuming that the nonlinear part $g(x,u,z)$ is equipped by sub-linear growth in $z$ only for big
Josef Daněček, Eugen Viszus
doaj   +1 more source