✦ LIBER ✦

Elliptic Variational Problems in RN with Critical Growth

✍ Scribed by A. Ambrosetti; J.Garcia Azorero; I. Peral

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 178 KB
Volume: 168
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3875

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Nonlinear Perturbations of a Periodic El

Nonlinear Perturbations of a Periodic Elliptic Problem with Critical Growth

✍ Claudianor Oliveira Alves; Paulo Cesar Carrião; Olimpio Hiroshi Miyagaki 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 100 KB

Using the well-known Mountain Pass Theorem due to Ambrosetti and Rabinowitz, we establish conditions for the existence of a positive solution for a class of nonlinear elliptic problems in ‫ޒ‬ N with critical growth.

Critical Phenomena in Linear Elliptic Pr

Critical Phenomena in Linear Elliptic Problems

✍ Achilles Tertikas 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 373 KB

In this article we consider the existence and nonexistence of principal eigenvalues for the linear elliptic equation where N 3, and V # L 1 loc (R N ) with V}0 in R N . We establish that when potential V has strong singularities, phenomena which appear under critical exponent nonlinearities (Brezis

On a Class of Asymptotically Linear Elli

On a Class of Asymptotically Linear Elliptic Problems in RN

✍ David G. Costa; Hossein Tehrani 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 189 KB

On an Elliptic Problem with Critical Non

On an Elliptic Problem with Critical Nonlinearity in Expanding Annuli

✍ Mohameden O. Ahmedou; Khalil O. El Mehdi 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 264 KB

This paper is concerned with an elliptic problem with homogeneous boundary conditions and critical nonlinearity (P = ): &2u=u p , u>0 on A = , u=0 on A = , where A = =[x # R n Â=<|x| <1Â=] are expanding annuli as = Ä 0, n 3 and p+1=2nÂ(n&2) is the critical Sobolev exponent. We compute the difference

A Variational Approach to Discontinuous

A Variational Approach to Discontinuous Problems with Critical Sobolev Exponents

✍ C.O. Alves; Ana Maria Bertone; J.V. Goncalves 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 177 KB

We employ variational techniques to study the existence and multiplicity of positive solutions of semilinear equations of the form -u = λh x H u -a u q + u 2 \* -1 in R N , where λ, a > 0 are parameters, h x is both nonnegative and integrable on R N , H is the Heaviside function, 2 \* is the critica

Nonlinear Fredholm Operators with Noncom

Nonlinear Fredholm Operators with Noncompact Fibers and Applications to Elliptic Problems on RN

✍ Patrick J Rabier 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 202 KB

Under suitable conditions, an equation F(x)=y between Banach spaces involving a nonlinear Fredholm mapping F of nonnegative index is shown to have a noncompact and hence infinite set of solutions for almost every y for which the equation is solvable. The proof of this nonuniqueness (but not existenc