Existence of solution for a generalized quasilinear elliptic problem
| Autor: | Edcarlos D. Silva, Marcelo F. Furtado, Maxwell L. Silva |
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| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Asymptotically linear 010102 general mathematics Mathematical analysis Statistical and Nonlinear Physics Multiplicity (mathematics) Mathematical proof 01 natural sciences Schrödinger equation 010101 applied mathematics symbols.namesake symbols 0101 mathematics Mathematical Physics Mathematics |
| Zdroj: | Journal of Mathematical Physics. 58:031503 |
| ISSN: | 1089-7658 0022-2488 |
| DOI: | 10.1063/1.4977480 |
| Popis: | It establishes existence and multiplicity of solutions to the elliptic quasilinear Schrodinger equation −div(g2(u)∇u)+g(u)g′(u)|∇u|2+V(x)u=h(x,u),x∈ℝN,where g, h, V are suitable smooth functions. The function g is asymptotically linear at infinity and, for each fixed x∈ℝN, the function h(x, s) behaves like s at the origin and s3 at infinity. In the proofs, we apply variational methods. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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