Local subestimates of solutions to double-phase parabolic equations via nonlinear parabolic potentials
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DOI: 10.1007/s10958-019-04515-3
Abstract: For parabolic equations with nonstandard growth conditions, we prove local boundedness of weak solutions in terms of nonlinear parabolic potentials of the right-hand side of the equation. read more here.
Keywords: parabolic potentials; subestimates solutions; local subestimates; nonlinear parabolic ... See more keywords
Periodic solutions for some double-delayed differential equations
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DOI: 10.1007/s11117-016-0399-z
Abstract: We prove the existence of positive $$\omega $$ω-periodic solutions for the double-delayed differential equation $$\begin{aligned} x^{\prime }(t)-a(t)g(x(t))x(t)=-\lambda (b(t)f(x(t-\tau (t))+c(t)h(x(t-\nu (t))), \end{aligned}$$x′(t)-a(t)g(x(t))x(t)=-λ(b(t)f(x(t-τ(t))+c(t)h(x(t-ν(t))),where $$\lambda $$λ is a positive parameter, $$a,b,c,\tau ,\nu \in C(\mathbb {R}, \mathbb {R})$$a,b,c,τ,ν∈C(R,R) are… read more here.
Keywords: periodic solutions; double delayed; delayed differential; solutions double ... See more keywords
Renormalized non-negative solutions for the double phase Dirichlet problems with L1 data
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DOI: 10.1063/5.0145741
Abstract: This article investigates a class of double phase problem with L1 data. Some new criteria to guarantee that the existence and uniqueness of non-negative renormalized solutions for the considered problem are established by using the… read more here.
Keywords: solutions double; renormalized non; phase dirichlet; non negative ... See more keywords