On sign-changing solutions for resonant (p,q)-Laplace equations
نویسندگان
چکیده
منابع مشابه
EXISTENCE OF POSITIVE AND SIGN-CHANGING SOLUTIONS FOR p-LAPLACE EQUATIONS WITH POTENTIALS IN R
We study the perturbed equation −ε div(|∇u|p−2∇u) + V (x)|u|p−2u = h(x, u) + K(x)|u| −2u, x ∈ R u(x)→ 0 as |x| → ∞ . where 2 ≤ p < N , p∗ = pN N−p , p < q < p ∗. Under proper conditions on V (x) and h(x, u), we obtain the existence and multiplicity of solutions. We also study the existence of solutions which change sign.
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2018
ISSN: 1847-120X
DOI: 10.7153/dea-2018-10-12