Results 21 to 30 of about 95,793 (250)
A nonlinear elliptic problem with terms concentrating in the boundary [PDF]
, 2012 In this paper we investigate the behavior of a family of steady state solutions of a nonlinear reaction diffusion equation when some reaction and potential terms are concentrated in a $\epsilon$-neighborhood of a portion $\Gamma$ of the boundary.
Antônio L. Pereira +3 more
core +1 more source
The Cauchy problem for nonlinear elliptic equations [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ly, I., Tarkhanov, Nikolai Nikolaevich
openaire +2 more sources
Stationary waves on nonlinear quantum graphs: General framework and canonical perturbation theory [PDF]
, 2016 In this paper we present a general framework for solving the stationary nonlinear Schr\"odinger equation (NLSE) on a network of one-dimensional wires modelled by a metric graph with suitable matching conditions at the vertices. A formal solution is given
Gnutzmann, Sven, Waltner, Daniel
core +2 more sources
Nonlinear Elliptic Eigenvalue Problems with Discontinuities
Journal of Mathematical Analysis and Applications, 1999 Existence of nontrivial solutions to two nonlinear eigenvalue problems with discontinuous nonlinearities is proved in this paper. The first one is given by \(-\Delta_p\in \lambda[f_0(x,u), f_1(x,u)]\) in \(D\), \(u=0\) on \(\partial D\), where \(D\) is a smooth bounded domain in \(\mathbb{R}^N\), \(p\geq 2\), \(\lambda\) is a real parameter and \(f_0(x,
Hu, Shouchuan +2 more
openaire +1 more source
Boundary Value Problems, 2006 Via the linking theorem, the existence of nontrivial solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential is proved.
Yongqing Li, Shenghua Weng
doaj +2 more sources
Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
, 2013 We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains.
Silvestre, Luis, Sirakov, Boyan
core +1 more source
Comptes Rendus. Mathématique, 2023 We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements.
Choulli, Mourad
doaj +1 more source
Lipschitz regularity results for nonlinear strictly elliptic equations and applications
, 2016 Most of lipschitz regularity results for nonlinear strictly elliptic equations are obtained for a suitable growth power of the nonlinearity with respect to the gradient variable (subquadratic for instance).
Ley, Olivier, Nguyen, Vinh Duc
core +3 more sources
Nonlinear Elliptic Problems Above Criticality
Milan Journal of Mathematics, 2006 We consider the elliptic problem Δu + u p = 0, u > 0 in an exterior domain, $$\Omega = {\mathbb{R}}^{N} \backslash {\mathcal{D}}$$ under zero Dirichlet and vanishing conditions, where
openaire +3 more sources
Nonlinear elliptic p(u)−Laplacian problem with Fourier boundary condition
Cubo, 2020 We study a nonlinear elliptic \(p(u)-\) Laplacian problem with Fourier boundary conditions and \(L^1-\) data. The existence and uniqueness results of entropy solutions are established.
Stanislas Ouaro, Noufou Sawadogo
doaj +1 more source