Multiplicity of solutions for quasilinear elliptic boundary-value problems
This paper is concerned with the existence of multiple solutions to the boundary-value problem $$-(varphi_p(u') ) '=lambda varphi_q(u) +f(u)quadhbox{in } (0,1),,quad u(0) =u(1) =0,,$$ where $p,q>1$, $varphi_x(y) =|y|^{x-2}y$, $lambda $ is a real parameter, and $f$ is a function which ma...
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Format: | Article |
Language: | English |
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Texas State University
1999-06-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/1999/21/abstr.html |
Summary: | This paper is concerned with the existence of multiple solutions to the boundary-value problem $$-(varphi_p(u') ) '=lambda varphi_q(u) +f(u)quadhbox{in } (0,1),,quad u(0) =u(1) =0,,$$ where $p,q>1$, $varphi_x(y) =|y|^{x-2}y$, $lambda $ is a real parameter, and $f$ is a function which may be sublinear, superlinear, or asymmetric. We use the time map method for showing the existence of solutions. |
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ISSN: | 1072-6691 |