Nontrivial solutions of superlinear p-Laplacian equations
نویسندگان
چکیده
منابع مشابه
Nontrivial Solutions of p-Superlinear p-Laplacian Problems via a Cohomological Local Splitting
We consider a quasilinear equation, involving the p-Laplace operator, with a p-superlinear nonlinearity. We prove the existence of a nontrivial solution, also when there is no mountain pass geometry, without imposing a global sign condition. Techniques of Morse theory are employed.
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We consider quasi-linear elliptic equations involving the p-Laplacian with nonlinearities which interfere asymptotically with the spectrum of the differential operator. We show that such equations have for certain forcing terms at least two solutions. Such equations are of so-called Ambrosetti-Prodi type. In particular, our theorem is a partial generalization of corresponding results for the se...
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By a variant version of mountain pass theorem, the existence and multiplicity of solutions are obtained for a class of superlinear p-Laplacian equations: −Δ p u = f (x,u). In this paper, we suppose neither f satisfies the superquadratic condition in Ambrosetti-Rabinowitz sense nor f (x,t)/|t| p−1 is nondecreasing with respect to |t|. This is an open access article distributed under the Creative...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.09.064