Phenomena of critical exponent in ℝ2

Author:

Adimurthi ,Srikanth P. N.,Yadava S. L.

Abstract

SynopsisIn this paper we make an attempt to explain the critical phenomena in ℝ2. We do this by exhibiting a class of functions having growth and for whichdo not admit a solution when R is sufficiently small, where B(R) denotes the ball of radius R in ℝ2.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in ℝ2

2. On the existence of an extremal function for an inequality of J. Moser;Carleson;Bull. Sc. Math.,1986

3. 10 McLeod J. B. and McLeod K. . The Critical Sobolev exponent in two dimensions. Proc. Roy. Soc. Edinburgh Sect. A (to appear).

4. 3 Adimurthi and Yadava S. L. . A note on non existence of nodal solution of elliptic equations with Critical growth in ℝ2. Trans. Amer. Math. Soc. (to appear).

5. Emden–Flowler equations involving Critical exponents;Atkinson;J. Nonlinear Anal.,1986

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