On existence and concentration of solutions for an elliptic problem with discontinuous nonlinearity via penalization method

Author:

Alves Claudianor O.,Figueiredo Giovany M.,Nascimento Rúbia G.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Physics and Astronomy,General Mathematics

Reference45 articles.

1. Ackermann N., Szulkin A.: A concentration phenomenon for semilinear elliptic equations. Arch. Ration. Mech. Anal. 207(3), 1075–1089 (2013)

2. Alves C.O.: Existence and multiplicity of solution for a class of quasilinear. Adv. Nonlinear Stud. 5, 73–86 (2005)

3. Alves C.O., Bertone A.M.: A discontinuous problem involving the p- Laplacian. Electron. J. Differ. Equ. 42, 1–10 (2003)

4. Alves C.O., Bertone A.M., Gonçalves J.V.: A variational approach to discontinuous problems with critical Sobolev exponents. J. Math. Anal. Appl. 265, 103–127 (2002)

5. Alves C.O., Santos J.A., Gonçalves J.V.: On multiple solutions for multivalued elliptic equations under Navier boundary conditions. J. Conv. Anal. 03, 627–644 (2011)

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