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Elliptic equations with critical exponent on a torus invariant region of S3
(World Scientific, 2017-12)
We study the multiplicity of positive solutions of a Brezis–Nirenberg-type problem on a region of the three-dimensional sphere, which is invariant by the natural torus action. In the paper by Brezis and Peletier, the case ...
The brezis-nirenberg problem for the laplacian with a singular drift in r-n and s-n
(2017)
We consider the Brezis-Nirenberg problem for the Laplacian with a singular drift for a (geodesic) ball in both R-n and S-n, 3 <= n <= 5. The singular drift we consider derives from a potential which is symmetric around the ...
Sign Changing Tower of Bubbles for an Elliptic Problem at the Critical Exponent in Pierced Non-Symmetric Domains
(TAYLOR & FRANCIS INC, 2010)
We consider the problem [image omitted] in epsilon, u=0 on epsilon, where epsilon: =\{B(a, epsilon) B(b, epsilon)}, with a bounded smooth domain in N, N epsilon 3, ab two points in , and epsilon is a positive small parameter. ...
ON QUASILINEAR BREZIS-NIRENBERG TYPE PROBLEMS WITH WEIGHTS
(KHAYYAM PUBL CO INC, 2010)
In this paper we study Brezis-Nirenberg type results for radial solutions of a qumilinear elliptic equation of the form
Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2006)
We consider the problem Delta u + \u\(4/n-2) u = 0 in Omega(epsilon), u = 0 on partial derivative Omega(epsilon), where Omega(epsilon) := Omega \ B (0, epsilon) and Omega is a bounded smooth domain in R(N), which contains ...
Bubble tower solutions for a supercritical elliptic problem in R-N
(SCUOLA NORMALE SUPERIORE, 2016)
We consider the problem {-Delta u + u = u(p) + lambda u(q) u > 0 in R-Nu(z) -> 0 as vertical bar z vertical bar -> infinity where p = p* + epsilon, with p* = N+2/N-2, while 1 < q < N+2/N-2 if N >= 4, and 3 < q < 5 if N = ...
Stationary Kirchhoff Problems Involving A Fractional Elliptic Operator And A Critical Nonlinearity
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2015)
Positive solutions for nonlinear elliptic equations with fast increasing weights
(Royal Soc EdinburghEdinburghEscócia, 2007)
The Nehari manifold for nonlocal elliptic operators involving concave-convex nonlinearities
(SPRINGER BASEL AG, 2015)
In this paper, we study the multiplicity of solutions to equations driven by a nonlocal integro-differential operator with homogeneous Dirichlet boundary conditions. In particular, using fibering maps and Nehari manifold, ...