Existence and multiplicity of solutions for \(p(x)\)-Kirchhoff-type problem in \(\mathbb R^N\)

zbMath1276.35072MaRDI QIDQ360965

Mei-Chun Wei, Chun-Lei Tang

Publication date: 28 August 2013

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: http://math.usm.my/bulletin/html/vol36_3_20.html

zbMATH Keywords

compact imbeddingMountain Pass Theoremgeneralized Sobolev space\(p(x)\)-Kirchhoff-type problemFountain TheoremSymmetric Mountain Pass Lemma

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for higher-order elliptic equations (35J35)

Related Items (8)

A class of \(p_1 (x, \cdot)\) \& \(p_2 (x, \cdot)\)-fractional Kirchhoff-type problem with variable \(s(x, \cdot)\)-order and without the Ambrosetti-Rabinowitz condition in \(\mathbb{R}^N\) ⋮ Existence and multiplicity of solutions for a class of nonlocal elliptic transmission systems ⋮ Kirchhoff-type problems involving logarithmic nonlinearity with variable exponent and convection term ⋮ Intrinsic square function characterizations of Hardy spaces with variable exponents ⋮ Existence of solutions for a class of fractional Kirchhoff-type systems in \(\mathbb{R}^N\) with non-standard growth ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions for fractional p(x,.)-Kirchhoff-type problems in ℝ^N ⋮ Existence of solutions for \(p(x)\) Laplacian equations without Ambrosetti-Rabinowitz type condition

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