Quasilinear Schrödinger Equations with Asymptotically Linear Nonlinearities
Autor: | Edcarlos D. Silva, Maxwell L. Silva, Marcelo F. Furtado |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Advanced Nonlinear Studies. 14:671-686 |
ISSN: | 2169-0375 1536-1365 |
Popis: | We deal with the existence of nonzero solution for the quasilinear Schrödinger equation −Δu + V(x)u − Δ(u2)u = g(x, u), x ∈ ℝN, u ∈ H1(ℝN), where V is a positive potential and the nonlinearity g(x, s) behaves like K0(x)s at the origin and like K∞(x)|s|p, 1 ≤ p ≤ 3, at infinity. In the proofs we apply minimization methods. |
Databáze: | OpenAIRE |
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