Variant fountain theorems and their applications

By Wenming Zou. 2001

299 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6a8ef1f72e4cbac4b67c76e2b8a23fb0d01a3ce6

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Infinitely Many Solutions of Superlinear Elliptic Equation (2013, methodology): “(18) The following variant of the Fountain theorems was established in [3].”
Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems (2011, methodology): “Our tool is the variant fountain theorem established in [23].”
Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian (2018, unknown): “To prove our main results, we need the following two variant fountain theorems in [33].”
On differential systems with strongly indefinite variational structure (2014, background): “Its study then gives rise to an interesting and challenging variational problem, because the usual powerful critical point theorems in [1, 3, 8, 33] cannot be applied directly.”
Infinitely many nontrivial solutions for a class of biharmonic equations via variant fountain theorems (2011, background): “We need the following variant fountain theorem introduced in [14] to handle the problem.”
WEAK LINKING THEOREMS AND SCHR¨ ODINGER EQUATIONS WITH CRITICAL SOBOLEV EXPONENT (2003, unknown): “The new degree is also applied in [23, 25, 27, 28].”
On superlinear problems without the Ambrosetti and Rabinowitz condition (2010, background): “For related results on the existence of infinitely many solutions of superlinear elliptic problems, we refer to [26, 16].”
Nontrivial solutions of superlinear p-Laplacian equations (2009, background): “The argument that we employed to exclude the case w D 0, is due to Jeanjean [8] and Zou [18].”