Establishes a continuous Fountain theorem via weak slope for continuous functionals and applies it to a semilinear elliptic problem in R^2.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.AP 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
The authors prove an infinite-dimensional version of the generalized Mountain Pass Theorem and apply it to establish existence of at least one solution for a semilinear elliptic system with indefinite weights in R^2.
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On the Fountain Theorem for Continuous Functionals and Its Application to a Semilinear Elliptic Problem in $\mathbb{R}^2$
Establishes a continuous Fountain theorem via weak slope for continuous functionals and applies it to a semilinear elliptic problem in R^2.
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An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems
The authors prove an infinite-dimensional version of the generalized Mountain Pass Theorem and apply it to establish existence of at least one solution for a semilinear elliptic system with indefinite weights in R^2.