Results 31 to 40 of about 2,479 (310)

Genetic programming approaches for solving elliptic partial differential equations [PDF]

, 2008
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A., Keane, A.J., Nair, P.B., P.B. Nair, A.J. Keane, A. Sobester   +5 more
core   +1 more source

Sublinear singular elliptic problems with two parameters

Journal of Differential Equations, 2003
Let \(\Omega\) be a smooth bounded domain in \(\mathbb R^N\) \((N\geq 2)\). The authors study the existence or nonexistence of solutions to the following boundary value problem \[ \begin{cases} -\Delta u+ K(x)g(u)=\lambda f(x,u)+\mu h(x)\quad &\text{in }\Omega,\\ u> 0\quad &\text{in }\Omega,\\ u=0\quad &\text{on }\partial\Omega,\end{cases}\tag{P\(_ ...
Ghergu, Marius, Rădulescu, Vicenţiu
openaire   +2 more sources

Higher-Order Energy Expansions and Spike Locations [PDF]

, 2004
We consider the following singularly perturbed semilinear elliptic problem: (I)\left\{ \begin{array}{l} \epsilon^{2} \Delta u - u + f(u)=0 \ \ \mbox{in} \ \Omega, \\ u>0 \ \ \mbox{in} \ \ \Omega \ \ \mbox{and} \ \frac{\partial u}{\partial \nu}
Winter, M, Wei, J
core   +1 more source

Homogenization of singular elliptic systems with nonlinear conditions on the interfaces [PDF]

, 2020
We prove existence and homogenization results for elliptic problems involving a singular lower order term and defined on a domain with interfaces having a nonlinear response.
Amar Micol, Giuseppe Riey
core   +1 more source

Regularizing Effects for a Singular Elliptic Problem

Axioms
In this paper, we prove existence and regularity results for a nonlinear elliptic problem of p-Laplacian type with a singular potential like fuγ and a lower order term bu, where u is the solution and b and f are only assumed to be summable functions. We show that, despite the lack of regularity of the data, for suitable choices of the function b in the
de Bonis Ida, Maria Michaela Porzio
openaire   +3 more sources

Minimal Lp-solutions to singular sublinear elliptic problems

Results in Applied Mathematics
We solve the existence problem for the minimal positive solutions u∈Lp(Ω,dx) to the Dirichlet problems for sublinear elliptic equations of the form Lu=σuq+μinΩ,lim infx→yu(x)=0y∈∂∞Ω,where ...
Aye Chan May, Adisak Seesanea
doaj   +1 more source

Singularities and treatments of elliptic boundary value problems

Mathematical and Computer Modelling, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Z. C., Lu, T. T.
openaire   +2 more sources

LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]

, 2011
We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
core   +1 more source

Numerical methods for boundary value problems on random domains [PDF]

, 2014
In this thesis, we consider the numerical solution of elliptic boundary value problems on random domains. The underlying domain is modelled via a random vector field which is given by its mean and its covariance.
Peters, Michael
core   +1 more source

How phagocytic cells kill bacteria: Lessons from a professional killer

FEBS Open Bio, EarlyView.
How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
wiley   +1 more source