Global multiplicity of positive solutions for anisotropic (p, q)-Robin boundary value problems with an indefinite potential term
We consider a nonlinear Robin problem driven by the anisotropic (p, q)- Laplacian plus an indefinite potential term. In the reaction, we have the competing effects of a parametric concave (sublinear) term perturbed by a superlinear one (concaveconvex problem). We prove the existence and multiplicity...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet - nemlineáris - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.58 |
| Online Access: | http://acta.bibl.u-szeged.hu/88860 |
| Tartalmi kivonat: | We consider a nonlinear Robin problem driven by the anisotropic (p, q)- Laplacian plus an indefinite potential term. In the reaction, we have the competing effects of a parametric concave (sublinear) term perturbed by a superlinear one (concaveconvex problem). We prove the existence and multiplicity result for positive solutions which is global with respect to the parameter. We also show the existence of a minimal positive solution and determine its dependence on the parameter. |
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| Terjedelem/Fizikai jellemzők: | 25 |
| ISSN: | 1417-3875 |