The book provides an elementary tutorial presentation on computational methods in fluid
mechanics. The authors intend this book to serve as a survey of mathematical fundamentals …

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry
and the theory of partial differential equations. Several conjectures have been made and …

This paper studies the Cauchy–Dirichlet problem associated with the equation b(u)_t-
div\left(|∇uK(b(u))\bfe|^p-2(∇uK(b(u))\bfe)\right)+g(x,u)=f(t,x). This problem arises in the …

Existence and Uniqueness of Nonnegative Solutions of Quasilinear Equations in Rn Page 1
Advances in Mathematics 1484 advances in mathematics 118, 177 243 (1996) Existence and …

Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
Page 1 Proceedings of the Royal Society of Edinburgh, 124A, 189-198,1994 Uniqueness of …

We prove the existence of non-negative non-trivial solutions of the quasilinear equation
\Delta_mu+f(u)=0 in \mathbbR^n and of its associated free boundary problem, where …

Existence and uniqueness results for large positive solutions are obtained for a class of
quasilinear elliptic eigenvalue problems in general bounded smooth domains via a …

Fuchsian reduction is a method for representing solutions of nonlinear PDEs near
singularities. The technique has multiple applications including soliton theory, Einstein's …

In this paper, it is proved that positive solutions of non linear equation involving the N–
Laplacian in a ball in RN with Dirichlet boundary condition are radial and radially …

The existence and uniqueness of positive radial solutions of the equations of the type
[IML0001] in BR, p> 1 with Dirichlet condition are proved for λ large enough and f satisfying …