[KSCI] Korea Science Citation Index Service

Pak, Hee Chul (Department of Mathematics Dankook University)
Park, Young Ja (Department of Mathematics Hoseo University)

Publication Information

Abstract

The existence of solutions for nonlinear elliptic partial differential equations with general flux and damping terms is investigated.

Keywords

nonlinear elliptic equations; existence of solutions; function spaces; Orlicz spaces;

Citations & Related Records

1	R. Adams, Sobolev spaces, 2nd edition, Academic press, Amsterdam, 2003.
2	L. C. Evans, Partial differential equations, American Math. Soc. 1998.
3	H-C. Pak, Existence of solutions for a nonlinear elliptic equation with general flux term, Fixed Point Theory and Appl. 2011 (2011), Article ID 496417.
4	H-C. Pak and S-H. Chang, A new function space $L_{\alpha}(X)$ - Version 1.1, J. Chung-cheong Math. Soc. 21 (2008), 471-481.
5	H-C. Pak and S-H. Chang, Poincare's inequality on a new function space $L_{\alpha}(X)$ , J. Chung-cheong Math. Soc. 22 (2009), 309-318.
6	H-C. Pak and Y-J. Park, Trace operator and a nonlinear boundary value problem in a new space, Boundary Value Problems, 2014 (2014):153. DOI
7	H. Triebel, Theory of function spaces II, Birkhauser, 1992.