Existence of nontrivial solutions for perturbed \(p\)-Laplacian equation in \(\mathbb{R}^N\) with critical nonlinearity
Summary: We consider a perturbed \(p\)-Laplacian equation with critical nonlinearity in \(\mathbb{R}^N\). By using variational method, we show that it has at least one positive solution under the proper conditions.
scientific article; zbMATH DE number 7022956
scientific article