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Volume 26, Issue 3
The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms

N. Nyamoradi, M. Shekarbigi, A. Razlansari & M. Yavari

J. Part. Diff. Eq., 26 (2013), pp. 193-216.

Published online: 2013-09

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  • Abstract

In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters \lambda belongs to a certain subset of R.

  • Keywords

Nehari manifold quasilinear elliptic equation Sobolev critical exponent

  • AMS Subject Headings

35A15, 35B33, 35J70

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

nyamoradi@razi.ac.ir (N. Nyamoradi)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-26-193, author = {N. and Nyamoradi and nyamoradi@razi.ac.ir and 11861 and Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran and N. Nyamoradi and M. and Shekarbigi and and 4447 and Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran and M. Shekarbigi and A. and Razlansari and and 4448 and Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran and A. Razlansari and M. and Yavari and and 4449 and Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran and M. Yavari}, title = {The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms}, journal = {Journal of Partial Differential Equations}, year = {2013}, volume = {26}, number = {3}, pages = {193--216}, abstract = {

In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters \lambda belongs to a certain subset of R.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v26.n3.1}, url = {http://global-sci.org/intro/article_detail/jpde/5161.html} }
TY - JOUR T1 - The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms AU - Nyamoradi , N. AU - Shekarbigi , M. AU - Razlansari , A. AU - Yavari , M. JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 216 PY - 2013 DA - 2013/09 SN - 26 DO - http://doi.org/10.4208/jpde.v26.n3.1 UR - https://global-sci.org/intro/article_detail/jpde/5161.html KW - Nehari manifold KW - quasilinear elliptic equation KW - Sobolev critical exponent AB -

In this paper, by using the Nehari manifold and variational methods, we study the existence and multiplicity of positive solutions for a multi-singular quasilinear elliptic problem with critical growth terms in bounded domains. We prove that the equation has at least two positive solutions when the parameters \lambda belongs to a certain subset of R.

N. Nyamoradi, M. Shekarbigi, A.Razlansari & M. Yavari. (2019). The Nehari Manifold and Application to a Quasilinear Elliptic Equation with Multiple Hardy-type Terms. Journal of Partial Differential Equations. 26 (3). 193-216. doi:10.4208/jpde.v26.n3.1
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