✦ LIBER ✦

Positive solutions for elliptic equations involving nonlinearities with falling zeroes

✍ Scribed by Eun Kyoung Lee; R. Shivaji; Jinglong Ye

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 416 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.08.020

No coin nor oath required. For personal study only.

✦ Synopsis

We study classes of boundary value problems involving the p-Laplacian operator and nonlinearities which have falling zeroes. We analyze the existence and multiplicity of positive solutions when a parameter is large. We use the method of sub-supersolutions to establish our results.

📜 SIMILAR VOLUMES

Multiple positive solutions for -Laplace

Multiple positive solutions for -Laplace elliptic equations involving concave–convex nonlinearities and a Hardy-type term

✍ Li Wang; Qiaoling Wei; Dongsheng Kang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 278 KB

where Ω ⊂ R N is a bounded domain such that 0 ∈ Ω, 1 < q < p, λ > 0, µ < μ, f and g are nonnegative functions, μ = ( N-p p ) p is the best Hardy constant and p \* = Np N-p is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifold, the existence of multiple posi

Pairs of positive solutions of elliptic

Pairs of positive solutions of elliptic partial differential equations with discontinuous nonlinearities

✍ Jacques Douchet 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 554 KB

Four positive solutions for a semilinear

Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities

✍ Tsung-fang Wu 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 788 KB

Positive solutions of elliptic equations

Positive solutions of elliptic equations with nonlinear boundary conditions

✍ Xiuchao Song; Weihua Wang; Peihao Zhao 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 411 KB

This paper deals with the nonlinear elliptic equationu + u = f (x, u) in a bounded smooth domain Ω ⊂ R N with a nonlinear boundary value condition. The existence results are obtained by the sub-supersolution method and the Mountain Pass Lemma. And nonexistence is also considered.

Three symmetric solutions for a class of

Three symmetric solutions for a class of elliptic equations involving the -Laplacian with discontinuous nonlinearities in

✍ Guoqing Zhang; Sanyang Liu 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 214 KB

Symmetry Results for Solutions of Semili

Symmetry Results for Solutions of Semilinear Elliptic Equations with Convex Nonlinearities

✍ Filomena Pacella 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 135 KB

In this paper, we study the symmetry properties of the solutions of the semilinear elliptic problem ( where O is a bounded symmetric domain in R N , N 52, and f : O Â R ! R is a continuous function of class C 1 in the second variable, g is continuous and f and g are somehow symmetric in x. Our main