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Title
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Existence and multiplicity results for anisotropic stationary Schro¨dinger equations
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Type
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JournalPaper
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Keywords
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Anisotropic Sobolev spaces, variable exponent, mountain pass theorem, fountain theorem, dual fountain theorem.
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Abstract
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In this paper we are concerned with a new class of quasilinear elliptic equations with a power-like reaction term and a di¤erential operator that involves partial derivatives with di¤erent powers. The functional-analytic framework relies on anisotropic Sobolev spaces. By means of combined variational arguments, we obtain the existence of weak solutions and, in case of symmetric settings, the existence of large or small energy solutions. In particular, we establish some results that extend the classical theory of combined e¤ects of concave and convex nonlinearities.
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Researchers
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vicentiu radulescu (Third Researcher), maryam mirzapour (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)
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