Veron L. Singularities of Solutions of Second-Order Quasilinear Equations

Addison Wesley Longman, 1996. — 392 p. — ISBN10: 0582035392 OCR.
This text examines the singularity problem for solutions of elliptic and parabolic quasilinear equations of second order.Singularities of linear and quasilinear elliptic equations.
Linear equations.
Quasilinear equations in divergence form.
Singularities of solutions of elliptic equations with absorption term.
Isolated singularities.
Removable singularities.
Singularities of solutions of elliptic equations with source term.
Isolated singularities in differential inequalities.
Isolated singularities of solutions of Delta + g(u) = 0.
Singularities of solutions of -Delta u = u^q.
Boundary singularities of solutions of elliptic equations.
Equations with absorption term.
Solutions with boundary blow-up.
Boundary trace of positive solutions.
Singularities of quasilinear elliptic equations involving the p-Laplace or the mean curvature operator.
The p-Laplace equation.
Equations with absorption term.
Equations with source term.
Singular solutions of the capillarity equations.
Singularities of nonlinear parabolic equations.
Singularities of linear or quasilinear equations.
Isolated Singularities-the absorption case.
Isolated singularities-the source case.
Some quasilinear equations.