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首页> 外文期刊>Differential and integral equations >EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO A P-LAPLACIAN EQUATION IN
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EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS TO A P-LAPLACIAN EQUATION IN

机译:一类P-Laplace方程正解的存在性与多重性。

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摘要

In this work we study the existence, multiplicity and concentration of positive solutions for the following class of problem -∈~pΔ_pu + V(z)|u|~(p-2)u = f(u), u(z) > 0, V z ∈ R~N, where Δ_pu is the p-Laplacian operator, E is a positive parameter, 2 ≤ p < N,V : R~N → R is a continuous functions and f : R → R is a function of C~1 class.
机译:在这项工作中,我们研究以下问题类别-ε〜pΔ_pu+ V(z)| u |〜(p-2)u = f(u),u(z)>的正解的存在性,多重性和集中性0,V z∈R〜N,其中Δ_pu是p-Laplacian算子,E是一个正参数,2≤p

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