On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation

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Volume 13, Issue 2

Henghui Zou

J. Part. Diff. Eq., 13 (2000), pp. 133-150.

Published online: 2000-05

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Abstract

Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite.

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Existence bifurcation a priori estimates indefinite maximum principles

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@Article{JPDE-13-133, author = {Henghui Zou }, title = {On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {2}, pages = {133--150}, abstract = { Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5502.html} }

TY - JOUR T1 - On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation AU - Henghui Zou JO - Journal of Partial Differential Equations VL - 2 SP - 133 EP - 150 PY - 2000 DA - 2000/05 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5502.html KW - Existence KW - bifurcation KW - a priori estimates KW - indefinite KW - maximum principles AB - Existence of a positive solution was establsihed via bifurcation theory for sernilinear elliptic boundary value problems. With the aid of maximum principles and a priori estimates, global behavior of the bifurcation curve was obtained. In particular, a general sufficient condition was given for existence of multiple positive solutions when the nonlinearity is sub-critical and indefinite.

Henghui Zou . (2000). On Positive Solutions for Semilinear Elliptic Equations with an Indefinite Nonlinearity Via Bifurcation. Journal of Partial Differential Equations. 13 (2). 133-150. doi:

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