Existence results for the 1-Laplacian problem with a critical concave–convex nonlinearity
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In this paper, we study a critical concave–convex type problem involving the 1-Laplacian operator in a general Lipschitz-continuous domain. We show an existence result using an approximation method, in which the solution is obtained as limit of solutions to p-Laplacian type problems. To overcome the lack of compactness, a version of the well-known Concentration Compactness Principle of Lions is used.
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1-Laplacian operator, critical growth, singular nonlinearity
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Inglês
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Journal of Fixed Point Theory and Applications, v. 26, n. 4, 2024.
