3 Dec 16, 2020 #3 Subhotosh Khan said: What are the methods that you have been taught? For the chapter that I'm on, I have been taught solving double & triple integrals with x-simple and y-simple regions, changing the order of integration, and using u-substitutions. I'm not sure ...
Evaluating double integrals is an important topic in calculus. The mechanics of evaluating interated integrals can be assisted with a computer algebra system. Methods using the computer algebra software MAPLE are presented.doi:10.1080/0020739900210506...
(Note that IF you do decide to solve this using a numerical integration, that integrals of exponentials with extremely wide limits of integration often tend to fail, so you will need to do that integration carefully.) So now lets look at the integrand of this double integral. ...
where the functionis called the Sobolev conjugate function ofgiven by see Definition3.1for the precise characterization of. The proof of the embedding (1.2) is based on general embedding results of Musielak–Orlicz Sobolev spaces obtained by Fan [29] under the additional condition withandbeing the...
the FMLS model if (2)b=−12σαsec(απ2),a=r−b,d=r,c=λ1=λ2=0;the KoBoL model if (3)a=r−v−λα−1(q−p),b=12σαq,c=12σαp,d=r,λ1=λ2=λv=12σα{p(λ−1)α+q(λ+1)α−λα−αλα−1(q−p)},p+q=1,and the CGMY model if...
We study an eigenvalue problem in the framework of double phase variational integrals, and we introduce a sequence of nonlinear eigenvalues by a minimax pr
Accurate computation of Galerkin double surface integrals in the 3-D boundary element method However, the Galerkin method requires the computation of double surface integral over pairs of triangles. There are many semianalytical methods to treat ... R Adelman,NA Gumerov,R Duraiswami - 《IEEE Tra...
Marcellini, P.: On the definition and the lower semicontinuity of certain quasiconvex integrals. Ann. Inst. H. Poincaré, Anal. Non Linéaire 3, 391–409 (1986) Article MathSciNet Google Scholar Marcellini, P.: Regularity and existence of solutions of elliptic equations with p, q-growth co...
solutions. They introduced a technical regularization process through infimal convolution, which was applied to various equations incorporating the normalizedp(x)-Laplace equation [49], the nonhomogeneous nonlocalp-Laplace equation [8] and the normalizedp-Possion equation [3]. More related results can...
We prove Harnack-type inequalities for bounded non-negative solutions of the degenerate parabolic equations with (p,q) growth ut−div(|∇u|p−2∇u+a(x,t)|∇u|q−2∇u)=0,a(x,t)≥0, under the generalized non-logarithmic Zhikov’s conditions ...