Quasilinear Elliptic Equations with Degenerations and Singularities
From Book News, Inc. Explores the theory of nonlinear boundary-value problems for elliptic operators with degeneration and singularity. Focuses on the existence and bifurcation of weak solutions in appropriate weighted Sobolev spaces, using functional analytic methods based on the variational approach and the theory of the topological degree of monotone type nonlinear mappings. Offers existence results for second-order boundary-value problems on bounded and unbounded domains, and for higher-order boundary-value problems in a rather general setting. Also includes an extensive study of the -Laplacian and its degenerated and singular modifications. Assumes some basic knowledge of nonlinear functional analysis and differential equations. Book News, Inc.®, Portland, OR
Synopsis Presents modern methods and techniques for solving boundary value problems for nonlinear elliptic operators. Focus is upon existence and bifurcation results in appropriate Sobolev spaces. The subject of this book is the theory of nonlinear boundary value problems for elliptic operators with degeneration and singularity. It focuses on the existence and bifurcation of weak solutions in appropriate weighted Sobolev spaces. The main tools are functional analytic methods based on the variational...