Multiplicity and existence of solutions for generalized quasilinear Schrödinger equations with sign-changing potentials
Abstract We consider a class of generalized quasilinear Schrödinger equations − div ( l 2 ( u ) ∇ u ) + l ( u ) l ′ ( u ) | ∇ u | 2 + V ( x ) u = f ( u ) , x ∈ R N , $$ -\operatorname{div}\bigl(l^{2}(u)\nabla u\bigr)+l(u)l'(u) \vert \nabla u \vert ^{2}+V(x)u= f(u),\quad x\in \mathbb{R}^{N}, $$...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-04-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-020-01369-6 |