Existence of Nontrivial Solutions for Perturbed p-Laplacian Equation in ℝN with Critical Nonlinearity

Huixing Zhang; Xiaoqian Liu

doi:10.1155/2014/725781

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Home > Journals > Abstr. Appl. Anal. > Volume 2014 > Article

2014 Existence of Nontrivial Solutions for Perturbed

p

-Laplacian Equation in

{\Bbb R}^{N}

with Critical Nonlinearity

Huixing Zhang, Xiaoqian Liu

Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/725781

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Abstract

We consider a perturbed $p$ -Laplacian equation with critical nonlinearity in ${\Bbb R}^{N}$ . By using variational method, we show that it has at least one positive solution under the proper conditions.

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Huixing Zhang. Xiaoqian Liu. "Existence of Nontrivial Solutions for Perturbed $p$ -Laplacian Equation in ${\Bbb R}^{N}$ with Critical Nonlinearity." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/725781