Multiplicity of solutions for a quasilinear problem with supercritical growth
The multiplicity and concentration of positive solutions are established for the equation $$ -epsilon^{p}Delta_{p}u+V(z)|u|^{p-2}u=|u|^{q-2}u +lambda|u|^{s-2}u quadhbox{in }mathbb{R}^N, $$ where $1<p<N$, $epsilon >0$, $p<q<p^* leq s$, $p^{*}=frac{Np}{N-p}$, $lambdageq 0$ and $V...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/31/abstr.html |
| _version_ | 1828301492762705920 |
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| author | Giovany M. Figueiredo |
| author_facet | Giovany M. Figueiredo |
| author_sort | Giovany M. Figueiredo |
| collection | DOAJ |
| description | The multiplicity and concentration of positive solutions are established for the equation $$ -epsilon^{p}Delta_{p}u+V(z)|u|^{p-2}u=|u|^{q-2}u +lambda|u|^{s-2}u quadhbox{in }mathbb{R}^N, $$ where $1<p<N$, $epsilon >0$, $p<q<p^* leq s$, $p^{*}=frac{Np}{N-p}$, $lambdageq 0$ and $V$ is a positive continuous function. |
| first_indexed | 2024-04-13T13:23:24Z |
| format | Article |
| id | doaj.art-f2a7a918724f4393a2d4feb2b8141383 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T13:23:24Z |
| publishDate | 2006-03-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f2a7a918724f4393a2d4feb2b81413832022-12-22T02:45:14ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-03-0120063117Multiplicity of solutions for a quasilinear problem with supercritical growthGiovany M. FigueiredoThe multiplicity and concentration of positive solutions are established for the equation $$ -epsilon^{p}Delta_{p}u+V(z)|u|^{p-2}u=|u|^{q-2}u +lambda|u|^{s-2}u quadhbox{in }mathbb{R}^N, $$ where $1<p<N$, $epsilon >0$, $p<q<p^* leq s$, $p^{*}=frac{Np}{N-p}$, $lambdageq 0$ and $V$ is a positive continuous function.http://ejde.math.txstate.edu/Volumes/2006/31/abstr.htmlVariational methodpenalization methodMoser iteration method. |
| spellingShingle | Giovany M. Figueiredo Multiplicity of solutions for a quasilinear problem with supercritical growth Electronic Journal of Differential Equations Variational method penalization method Moser iteration method. |
| title | Multiplicity of solutions for a quasilinear problem with supercritical growth |
| title_full | Multiplicity of solutions for a quasilinear problem with supercritical growth |
| title_fullStr | Multiplicity of solutions for a quasilinear problem with supercritical growth |
| title_full_unstemmed | Multiplicity of solutions for a quasilinear problem with supercritical growth |
| title_short | Multiplicity of solutions for a quasilinear problem with supercritical growth |
| title_sort | multiplicity of solutions for a quasilinear problem with supercritical growth |
| topic | Variational method penalization method Moser iteration method. |
| url | http://ejde.math.txstate.edu/Volumes/2006/31/abstr.html |
| work_keys_str_mv | AT giovanymfigueiredo multiplicityofsolutionsforaquasilinearproblemwithsupercriticalgrowth |