Nodal solutions to (p, q)-Laplacian equations with critical growth

被引：0

作者：

Pu, Hongling ^{[1
,2
]}

Liang, Sihua ^{[3
]}

Ji, Shuguan ^{[1
,2
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

[3] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China

来源：

ASYMPTOTIC ANALYSIS | 2024年 / 136卷 / 02期

关键词：

(p; q)-Laplacian operator; Poisson equation; Critical growth; Variational methods; Nodal solutions; SCHRODINGER-POISSON SYSTEM; SIGN-CHANGING SOLUTIONS; KIRCHHOFF-TYPE PROBLEM; POSITIVE SOLUTIONS; ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.3233/ASY-231871

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a class of (p, q)-Laplacian equations with critical growth is taken into consideration: { -Delta(p)u - Delta(q)u + (vertical bar u vertical bar(p-2) + vertical bar u vertical bar(q-2))u + lambda phi vertical bar u vertical bar(q-2)u = mu g(u) + vertical bar u vertical bar(q*-2)u, x is an element of R-3, -Delta phi = vertical bar u vertical bar(q), x is an element of R-3, where Delta(xi)u = div(vertical bar del u vertical bar(xi-2) del u) is the xi-Laplacian operator (xi = p, q), 3/2 < p < q < 3, lambda and mu are positive parameters, q* = 3q/(3 - q) is the Sobolev critical exponent. We use a primary technique of constrained minimization to determine the existence, energy estimate and convergence property of nodal (that is, sign-changing) solutions under appropriate conditions on g, and thus generalize the existing results.

引用

页码：133 / 156

页数：24

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