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On generalized Laplace equation and nonlinear operators
-
Corneliu Udrea
Published/Copyright:
January 19, 2012
Abstract.
This work deals with nonlinear potential
theory, particularly with the techniques of the construction of
nonlinear resolvent associated with a given nonlinear operator.
The first section is devoted to the
theoretical case. After making some introductory
remarks about the Dirichlet problem for the generalized Laplace
equation,
we define a nonlinear operator on the space of essentially bounded
functions on an open bounded subset of
Received: 2010-09-22
Accepted: 2011-04-25
Published Online: 2012-01-19
Published in Print: 2012-January
© 2012 by Walter de Gruyter Berlin Boston
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- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
Articles in the same Issue
- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
