Results 111 to 120 of about 3,208 (150)

Ground state solution of a nonlocal boundary-value problem

, 2013
In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core   +1 more source

A singularity as a break point for the multiplicity of solutions to quasilinear elliptic problems

Advances in Nonlinear Analysis, 2020
In this paper we deal with the elliptic ...
López-Martínez Salvador
doaj   +1 more source

On the scattering for the $\bar{\partial}$- equation and reconstruction of convection terms [PDF]

arXiv, 2004
In this paper we reconstruct convection terms from boundary measurements.We reduce the Beals and Coifman inverse scattering scattering formalism from a first order system to a formalism for the $\bar{\partial}$ equation.
arxiv  

Green function estimates on complements of low-dimensional uniformly rectifiable sets. [PDF]

Math Ann, 2023
David G, Feneuil J, Mayboroda S.
europepmc   +1 more source

Bounds of Riesz Transforms on $L^p$ Spaces for Second Order Elliptic Operators [PDF]

arXiv, 2004
For any fixed $p>2$, a necessary and sufficient condition is obtained for the boundedness of the Riesz transforms associated with second order elliptic operators with real, symmetric, bounded measurable coefficients.
arxiv  

The trace space of anisotropic least gradient functions depends on the anisotropy. [PDF]

Math Ann, 2023
Górny W.
europepmc   +1 more source

On a nonlinear Robin problem with an absorption term on the boundary and L1 data

Advances in Nonlinear Analysis
We deal with existence and uniqueness of nonnegative solutions to: −Δu=f(x),inΩ,∂u∂ν+λ(x)u=g(x)uη,on∂Ω,\left\{\begin{array}{ll}-\Delta u=f\left(x),\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}\Omega ,\\ \frac{\partial u}{\partial ...
Pietra Francesco Della, Oliva Francescantonio, León Sergio Segura de   +2 more
doaj   +1 more source

The volume potential for elliptic differential operators in Schauder spaces [PDF]

arXiv
The aim of this paper is to prove continuity results for the volume potential corresponding to the fundamental solution of a second order differential operator with constant coefficients in Schauder spaces of negative exponent and to generalize some classical results in Schauder spaces of positive exponents.
arxiv  

Existence and continuation of solutions for a nonlinear Neumann problem [PDF]

arXiv, 2006
In this article we study the existence, continuation and bifurcation from infinity of nonconstant solutions for a nonlinear Neumann problem. We apply the Leray-Schauder degree and the degree for SO(2)-equivariant gradient operators defined by the second author.
arxiv  

Existence and Regularizing Effect of Degenerate Lower Order Terms in Elliptic Equations Beyond the Hardy Constant

Advanced Nonlinear Studies, 2018
In this paper, we study the regularizing effect of lower order terms in elliptic problems involving a Hardy potential.
Arcoya David, Molino Alexis, Moreno-Mérida Lourdes   +2 more
doaj   +1 more source