p-LaplacianSublinear perturbationIndefinite weightAntimaximum principleMaximum principleHarnack inequalityPicone inequalityExistenceLinking method35J92We investigate qualitative properties of weak solutions of the Dirichlet problem for the equation -Δpu=λm(x)|u|p-2u+ηa(x)|u|q-2u+f(x)documentclass[12...
Nontrivial solutions of Kirchhoff-type problems via the Yang index J. Differential Equations (2006) J.H. Zhao et al. Existence of infinitely many weak solutions for the p-Laplacian with nonlinear boundary conditions Nonlinear Anal. (2008) F.J.S.A. Corrêa et al. On an elliptic equation of...
An inner-loop free solution to inverse problems using deep neural networks. Kai Fan Qi Wei Lawrence Carin Katherine A. Heller 原文链接 谷歌学术 必应学术 百度学术 Beyond normality: Learning sparse probabilistic graphical models in the non-Gaussian setting. ...
Fan X.L.: Solutions for p(x)–Laplacian Dirichlet problems with singular coefficients. J. Math. Anal. Appl. 312, 464–477 (2005) Article MathSciNet MATH Google Scholar Fan X.L., Han X.Y.: Existence and multiplicity of solutions for p(x)–Laplacian equations in \({\mathbb {R}^N...
(z\in \Delta _{1}\) or \(z\in \Delta _{2}\), has been considered in [19], where the key conditions on the nonlinearity are either that F is superlinear, that is, \(k_{0}=0,k_{\infty }=\infty \), or that F is sublinear, that is, \(k_{0}=\infty \), \(k_{\...