𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multiple positive solutions for elliptic equations involving a concave term and critical Sobolev–Hardy exponent

✍ Scribed by M. Bouchekif; A. Matallah

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
453 KB
Volume
22
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Multiple positive solutions for semiline
Multiple positive solutions for semilinear elliptic equations with critical weighted Hardy–Sobolev exponents
✍ Xiao-Jiao Huang; Xing-Ping Wu; Chun-Lei Tang 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 250 KB

The existence and multiplicity of positive solutions are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents and the concaveconvex nonlinearity by variational methods and some analysis techniques.

Multiple solutions for inhomogeneous ell
Multiple solutions for inhomogeneous elliptic problems involving critical Sobolev–Hardy exponents
✍ Dongsheng Kang; Yinbin Deng 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 278 KB

Let ⊂ R N be a smooth bounded domain such that 0 ∈ , N 3, 0 s < 2, 2 \* (s) := 2(N - s)/N -2 is the critical Sobolev-Hardy exponent, f (x) is a given function. By using the Ekeland's variational principle and the mountain pass lemma, we prove the existence of multiple solutions for the singular crit

Existence and multiplicity of solutions
Existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Hardy–Sobolev critical exponents
✍ Ling Ding; Chun-Lei Tang 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 224 KB

Some existence and multiplicity results are obtained for solutions of semilinear elliptic equations with Hardy terms, Hardy-Sobolev critical exponents and superlinear nonlinearity by the variational methods and some analysis techniques.

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