𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonnegative Solutions of Quasilinear Elliptic Problems with Nonnegative Coefficients

✍ Scribed by N.P. Cac; A.M. Fink; J.A. Gatica

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
113 KB
Volume
206
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

The existence of nonnegative nontrivial solutions to the problem N y 1 yЉ q yЈ q q x f y s 0 Ž . Ž .

Ž . is discussed when the function q x is allowed to be zero on a set of positive w . w . measure and f : 0, ϱ ª 0, ϱ is continuous, strictly increasing, and allowing for Ž . the case f 0 s 0. A description of the set of 's for which there is a solution is obtained based on the properties of f.

📜 SIMILAR VOLUMES

Structure of nontrivial nonnegative solu
Structure of nontrivial nonnegative solutions of singularly perturbed quasilinear Dirichlet problems
✍ Zhengce Zhang; Zongming Guo 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 238 KB

## Abstract We study structure of nontrivial nonnegative solutions for a class of singularly perturbed quasilinear Dirichlet problems. It is shown that there are infinitely many least‐energy solutions and they are spike‐layer solutions. Moreover, the measure of each spike‐layer is estimated as the

Integrability of Double Power Series wit
Integrability of Double Power Series with Nonnegative Coefficients
✍ S.M Mazhar; F Móricz 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 168 KB

We consider the double power series with coefficients a G 0 for all j and k. Among others, we prove exact estimates of jk certain weighted L p -norms of f on the unit square, in terms of the coefficients a . Our results extend those of Askey and Boas, Hardy and Littlewood, Khan, jk Leindler, Matelj

Reliable Solution of a Quasilinear Nonpo
Reliable Solution of a Quasilinear Nonpotential Elliptic Problem of a Nonmonotone Type with Respect to the Uncertainty in Coefficients
✍ Ivan Hlaváček 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 227 KB

A quasilinear elliptic equation with mixed nonlinear boundary conditions is considered, where the admissible coefficients are given in a certain interval. We are looking for maximal values of the solution with respect to the set of admissible coefficients. The existence of a maximal solution is prov

Large and Small Solutions of a Class of
Large and Small Solutions of a Class of Quasilinear Elliptic Eigenvalue Problems
✍ Zongming Guo; J.R.L Webb 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 330 KB

Existence and uniqueness results for large positive solutions are obtained for a class of quasilinear elliptic eigenvalue problems in general bounded smooth domains via a generalization of a sweeping principle of Serrin. The nonlinear terms of the problems can be negative in some intervals. The exis