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Semilinear Elliptic Equations for Beginners

Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences;

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Semilinear Elliptic Equations

This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that;

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Handbook of Differential Equations

volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive;

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Global Solution Curves For Semilinear Elliptic Equations

of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to;

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Analytic Semigroups and Semilinear Initial Boundary Value Pr

A careful and accessible exposition of a functional analytic approach to initial boundary value problems for semilinear parabolic;

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Applied Functional Analysis And Partial Differential Equations

is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Stable Solutions of Elliptic Partial Differential Equations

through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional;

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Nonlinear Analysis and Semilinear Elliptic Problems

elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial;

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Singular Solutions of Nonlinear Elliptic and Parabolic Equations

discusses results on the existence and properties of weak and entropy solutions for elliptic second-order equations and some classes of fourth-order;

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Optimal Control of Partial Differential Equations

equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations;

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Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

equations of elliptic and parabolic types Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial;

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Co-Semigroups and Applications

differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with;

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Partial Differential Equations

for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. It also;

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Critical Point Theory

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points;

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Critical Point Theory: Sandwich and Linking Systems

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points;

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Lectures on Elliptic Partial Differential Equations

The book originates from the Elliptic PDE course given by the first author at the Scuola Normale Superiore in recent years. It covers the;

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Partial Differential Equations

reference for mathematicians and mathematical theorists.Starting with the theory of elliptic equations and the solution of the Dirichlet;

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Semilinear Evolution Equations and Their Applications

and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various;

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Semilinear Evolution Equations and Their Applications

and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various;

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Lectures on Elliptic and Parabolic Equations in Holder Spaces

simple computations. The main object of study is the first boundary-value problems for elliptic and parabolic equations, with some guidelines;

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Blow-up Theories for Semilinear Parabolic Equations

There is an enormous amount of work in the literature about the blow-up behavior of evolution equati;...

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Partial Differential Equations: Vol. 1 Foundations and Integral Representations

This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two;

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Lectures on the Analysis of Nonlinear Partial Differential Equations

elliptic free boundary problems; Alexis Vasseur, on the De Giorgi method for elliptic and parabolic equations; Jiahong Wu, on 2D Boussinesq;

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The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type

for equations of Keldysh type, one of the two main classes of linear elliptic-hyperbolic equations. Open boundary conditions (in which data;

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Partial Differential Equations 2

This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic;

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

semilinear Cauchy problems.;

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