Nonlinear Elliptic Partial Differential Equations

Nonlinear Elliptic Partial Differential Equations

An Introduction

Le Dret, Herve

Springer International Publishing AG

06/2018

253

Mole

Inglês

9783319783895

15 a 20 dias

4044

Descrição não disponível.
1 A brief review of real and functional analysis.- 2 Fixed point theorems and applications.- 3 Superposition operators.- 4 The Galerkin method.- 5 The maximum principle, elliptic regularity, and applications.- 6 Calculus of variations and quasilinear problems.- 7 Calculus of variations and critical points.- 8 Monotone operators and variational inequalities.- References.- Index.
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nonlinear elliptic partial differential equations;fixed point theorems;fixed point theorems applications;superposition operators;Young measures;Galerkin method;maximum principle;elliptic regularity;super-solutions and sub-solutions;direct method calculus of variations;Euler-Lagrange equation;quasiconvexity;polyconvexity;rank-1 convexity;mountain pass lemma;monotone operators;variational inequalities;calculus of variations and critical points;calculus of variations and quasilinear problems;partial differential equations