Variational techniques for elliptic partial differential equations: theoretical tools and advanced applications

✍ Scribed by Brown, Thomas S.; Hassell, Matthew E.; Sayas, Francisco-Javier

• Publisher: CRC Press
• Year: 2019
• Tongue: English
• Leaves: 515
• Category: Library

✦ Table of Contents

Content: I Fundamentals1 Distributions2 The homogeneous Dirichlet problem3 Lipschitz transformations and Lipschitz domains4 The nonhomogeneous Dirichlet problem5 Nonsymmetric and complex problems6 Neumann boundary conditions7 Poincare inequalities and Neumann problems8 Compact perturbations of coercive problems9 Eigenvalues of elliptic operatorsII Extensions and Applications10 Mixed problems11 Advanced mixed problems12 Nonlinear problems13 Fourier representation of Sobolev spaces14 Layer potentials15 A collection of elliptic problems16 Curl spaces and Maxwell's equations17 Elliptic equations on boundariesA Review materialB Glossary

✦ Subjects

Differential equations, Elliptic;Differential equations, Partial