Multi-bump solutions for a class of quasilinear problems involving variable exponents
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605496021 | ||
| 003 | CHVBK | ||
| 005 | 20210128100534.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0434-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0434-2 | ||
| 245 | 0 | 0 | |a Multi-bump solutions for a class of quasilinear problems involving variable exponents |h [Elektronische Daten] |c [Claudianor Alves, Marcelo Ferreira] |
| 520 | 3 | |a We establish the existence of multi-bump solutions for the following class of quasilinear problems $$\begin{aligned} - \Delta _{ p(x) } u + \big ( \lambda V(x) + Z(x) \big ) u ^{ p(x)-1 } = f(x,u) \text { in } \mathbb R^N, \, u \ge 0 \text { in } \mathbb R^N, \end{aligned}$$ - Δ p ( x ) u + ( λ V ( x ) + Z ( x ) ) u p ( x ) - 1 = f ( x , u ) in R N , u ≥ 0 in R N , where the nonlinearity $$ f :\mathbb R^N \times \mathbb R \rightarrow \mathbb R $$ f : R N × R → R is a continuous function having a subcritical growth and potentials $$ V, Z :\mathbb R^N \rightarrow \mathbb R $$ V , Z : R N → R are continuous functions verifying some hypotheses. The main tool used is the variational method. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Variational Methods |2 nationallicence | |
| 690 | 7 | |a Positive solutions |2 nationallicence | |
| 690 | 7 | |a Asymptotic behavior of solutions |2 nationallicence | |
| 690 | 7 | |a $$p(x)$$ p ( x ) -Laplacian |2 nationallicence | |
| 700 | 1 | |a Alves |D Claudianor |u Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP: 58429-900, Campina Grande, PB, Brazil |4 aut | |
| 700 | 1 | |a Ferreira |D Marcelo |u Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP: 58429-900, Campina Grande, PB, Brazil |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1563-1593 |x 0373-3114 |q 194:6<1563 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0434-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0434-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Alves |D Claudianor |u Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP: 58429-900, Campina Grande, PB, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ferreira |D Marcelo |u Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática, CEP: 58429-900, Campina Grande, PB, Brazil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/6(2015-12-01), 1563-1593 |x 0373-3114 |q 194:6<1563 |1 2015 |2 194 |o 10231 | ||