75 research outputs found
The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential
Full text linkIn this article we discuss the maximum principle for the linear equation and
the sign changing solutions of the semilinear equation with the Higgs
potential. Numerical simulations indicate that the bubbles for the semilinear
Klein-Gordon equation in the de Sitter spacetime are created and apparently
exist for all times
Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions
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Global and blow-up solutions for nonlinear parabolic problems with a gradient term under Robin boundary conditions
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Spreading speeds of invasive species in a periodic patchy environment: effects of dispersal based on local information and gradient-based taxis
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