Homoclinic solutions for a semilinear elliptic equation with an asymptotically linear nonlinearity

We study the following semilinear elliptic equation [formula omitted], where b is periodic and f is assumed to be asymptotically linear. The purpose of this paper is to establish the existence of infinitely many homoclinic type solutions for this class of nonlinearities. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published inCalculus of variations and partial differential equations Vol. 20; no. 4; pp. 431 - 455
Main Author van Heerden, Francois A.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.08.2004
Subjects
Calculus of variations
Nonlinear equations
Partial differential equations
Solutions
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Summary:We study the following semilinear elliptic equation [formula omitted], where b is periodic and f is assumed to be asymptotically linear. The purpose of this paper is to establish the existence of infinitely many homoclinic type solutions for this class of nonlinearities. [PUBLICATION ABSTRACT]
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-003-0242-9