Results 221 to 230 of about 95,301 (251)

Some Nonlinear Elliptic Problems in Unbounded Domains

Milan Journal of Mathematics, 2006
In this paper the results of some investigations concerning nonlinear elliptic problems in unbounded domains are summarized and the main difficulties and ideas related to these researches are described. The model problem $$ (P)\quad \left\{ \begin{array}{*{20}rc} -\Delta u + a(x)
openaire   +2 more sources

Nonlinear Elliptic and Parabolic Problems

2005
The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific ...
openaire   +1 more source

Solvability of some nonlinear elliptic problems

Mathematical Notes of the Academy of Sciences of the USSR, 1985
The author investigates the solvability condition for the following nonlinear Dirichlet boundary value problems: \[ \Delta u=f(x,u)\quad in\quad \Omega;\quad u=\phi (x)\quad on\quad \partial \Omega \] by means of the upper and lower solutions. In particular she gives also the conditions for nonexistence of the real solutions of this boundary value ...
openaire   +2 more sources

Normalized solutions of nonlinear elliptic problems

2020
The talk will be concerned with the existence of L 2 normalized solutions to nonlinear elliptic equations and systems.A model problem is the system of nonlinear Schrödinger equations(−∆u + λ1u = µ1u 3 + βuv2 in R 3−∆ v + λ2v = µ2v 3 + βu 2 v in R 3 with normalization constraints Z R3 u 2 = a 2 and Z R3 v 2 = b 2 .Whereas nonlinear elliptic equations ...
openaire   +1 more source

Nonlinear Analysis and Semilinear Elliptic Problems

2007
Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems.
AMBROSETTI A, MALCHIODI, ANDREA
openaire   +2 more sources

A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms

Computers and Mathematics With Applications, 2023
Pratibhamoy Das
exaly  

Positive solutions for a nonlinear nonlocal elliptic transmission problem

Applied Mathematics Letters, 2003
To Fu
exaly  

Critical nonlinearities for elliptic dirichlet problems

2013
In this paper the existence of one positive weak solution for Dirichlet problems with a critical growth of the nonlinearity is established. To this end, it is previously proved that the associated energy functional satisfies a suitable type of Palais Smale condition in order to apply a very recent local minimum theorem. © Dynamic Publishers, Inc.
BONANNO, Gabriele, D'AGUI', GIUSEPPINA
openaire   +1 more source

Nonlinear Elliptic Eigenvalue Problems

2018
openaire   +1 more source

The Calderón problem for variable coefficients nonlocal elliptic operators

Communications in Partial Differential Equations, 2017
Tuhin Ghosh, Yi-Hsuan Lin
exaly