Positive solutions to pdes - Open Access .click

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Almost global existence for Hamiltonian PDEs on compact manifolds [PDF]

We prove an abstract result of almost global existence of small solutions to semi-linear Hamiltonian partial differential equations satisfying very weak non resonance conditions and basic multilinear estimates.
Bernier, Joackim +3 more
core +2 more sources

Semilinear elliptic partial differential equations with the critical Sobolev exponent [PDF]

, 2017
We present how variational methods and results from linear and non-linear functional analysis are applied to solving certain types of semilinear elliptic partial differential equations (PDEs).
Mavuso, Melusi Manqoba
core +1 more source

Nonlinear PDEs and an application to high-frequency trading [PDF]

, 2015
This dissertation is concerned with nonlinear partial differential equations and their financial applications. We establish a multiplicity result for positive solutions to a class of nonlinear Dirichlet problems and study an optimal trading strategy ...

core

Multiplicity of Nodal Solutions for Yamabe Type Equations [PDF]

, 2017
Given a compact Riemannian manifold $(M, g)$ without boundary of dimension $m\geq 3$ and under some symmetry assumptions, we establish existence and multiplicity of positive and sign changing solutions to the following Yamabe type equation $$ div g(a ...
Fernández, Juan Carlos
core

Discrete maximum principle and the Ultraviolet Catastrophe of finite difference schemes on staggered Cartesian grids for heterogeneous and anisotropic diffusion equations. [PDF]

, 2014
The maximum principle, closely related to the non-negativity property, is a basic characteristic of second order PDEs of parabolic type. Its preservation for solutions to corresponding discretized problems is a natural requirement in reliable and ...
Simeoni, Chiara, Dani, Roberta
core +1 more source

Quantum algorithms for viscosity solutions to nonlinear Hamilton-Jacobi equations based on an entropy penalization method. [PDF]

Proc Natl Acad Sci U S A
Jin S, Liu N.
europepmc +1 more source

Numerical bifurcation analysis of turing and symmetry broken patterns of a PDE model for vegetation dynamics. [PDF]