Titlebook: Elliptic Partial Differential Equations of Second Order; David Gilbarg,Neil S. Trudinger Book 2001Latest edition Springer-Verlag GmbH Germ

negation

書目名稱Elliptic Partial Differential Equations of Second Order影響因子(影響力)




書目名稱Elliptic Partial Differential Equations of Second Order影響因子(影響力)學(xué)科排名




書目名稱Elliptic Partial Differential Equations of Second Order網(wǎng)絡(luò)公開度




書目名稱Elliptic Partial Differential Equations of Second Order網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Elliptic Partial Differential Equations of Second Order被引頻次




書目名稱Elliptic Partial Differential Equations of Second Order被引頻次學(xué)科排名




書目名稱Elliptic Partial Differential Equations of Second Order年度引用




書目名稱Elliptic Partial Differential Equations of Second Order年度引用學(xué)科排名




書目名稱Elliptic Partial Differential Equations of Second Order讀者反饋




書目名稱Elliptic Partial Differential Equations of Second Order讀者反饋學(xué)科排名

蚊子

Laplace’s Equationere .. In this chapter we develop some basic properties of harmonic, subharmonic and superharmonic functions which we use to study the solvability of the classical Dirichlet problem for ., . = 0. As mentioned in Chapter 1, Laplace’s equation and its inhomogeneous form, Poisson’s equation, are basic

蠟燭

流浪者

Poisson’s Equation and the Newtonian Potentialion . defined on ?. by .. From Green’s representation formula (2.16), we see that when . is sufficiently smooth a ..(.) function may be expressed as the sum of a harmonic function and the Newtonian potential of its Laplacian. It is not surprising therefore that the study of . . = . can largely be ef

Frequency

AWRY

AWRY

Sobolev Spacesquation (2.3)) a C2(Q) solution of .=. satisfies the integral identity . for all . ∈ .. ∈ (.). The bilinear form . is an inner product on the space ..(.) and the completion of ..(.) under the metric induced by (7.2) is consequently a Hubert space, which we call ..(.).

單調(diào)性

嚴(yán)厲譴責(zé)

Maximum and Comparison Principlesapter 3. We consider second order, quasilinear operators . of the form (10.1) . = ..(., ., .).. + .(., ., .), .. = .., where . = (....., ..) is contained in a domain . of ?., . ≥ 2, and, unless other-wise stated, the function . belongs to ..(.). The coefficients of ., namely the functions ..(., ., .

捕鯨魚叉

Topological Fixed Point Theorems and Their Applicationtes for solutions. This reduction is achieved through the application of topological fixed point theorems in appropriate function spaces. We shall first formulate a general criterion for solvability and illustrate its application in a situation where the required apriori estimates are readily derive