Browsing Mathematics (MA) by Subject "Dirichlet Problem"

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Regularity And Propagation Phenomena In Some Linear And Non-Linear Partial Differential Equations With Particular Reference To Microlocal Analysis

Jain, Rahul (2011-09-28)
The Role Of Potential Theory In Complex Dynamics

Bandyopadhyay, Choiti (2014-04-07)

Potential theory is the name given to the broad field of analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, Green’s functions, potentials and capacity. In this text, our main ...
Some nonlinear elliptic equations involving nonlinearities of critical growth

Panda, Ratikanta

We consider the following Neumann boundary value problem: ?Anu+??u?n?2u=f(x,u)?u?n?2in ?- A_n u + \lambda |u|^{n-2}u = f(x, u) |u|^{n-2} \quad \text{in } \Omega?An?u+??u?n?2u=f(x,u)?u?n?2in ? in a bounded domain ??Rn\Omega ...