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GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS
(AMER MATHEMATICAL SOCPROVIDENCE, 2012)
We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a ...
Sign conditions for the existence of at least one positive solution of a sparse polynomial system
(Academic Press Inc Elsevier Science, 2020-12)
We give sign conditions on the support and coefficients of a sparse system of d generalized polynomials in d variables that guarantee the existence of at least one positive real root, based on degree theory and Gale duality. ...
Existence and multiplicity results for degenerate elliptic equations with dependence on the gradient
(2007)
We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type ...
Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains
(Nonlinear Analysis: Theory, Methods & Applications, 2018)
Superlinear systems of second-order ODE's
(Pergamon-elsevier Science LtdOxfordInglaterra, 2008)
Positive solutions of the p-Laplacian involving a superlinear nonlinearity with zeros
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
Using a combination of several methods, such as variational methods. the sub and supersolutions method, comparison principles and a priori estimates. we study existence, multiplicity, and the behavior with respect to lambda ...
On a class of quasilinear elliptic problems involving critical exponents
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2000)
On the uniqueness of the second bound state solution of a semilinear equation
(ELSEVIER SCIENCE BV, 2009)
We establish the uniqueness of the second radial bound state solution of
Strictly positive solutions for one-dimensional nonlinear problems involving the p-laplacian
(Australian Mathematics Publ Assoc Inc, 2014-04)
Let Ω be a bounded open interval, and let p>1 and q∈(0,p−1). Let m∈Lp′(Ω) and 0≤c∈L∞(Ω). We study the existence of strictly positive solutions for elliptic problems of the form −(|u′|^p − 2u′)′+c(x)u^(p−1)=m(x)u^q in Ω, ...
Positive solutions for some quasilinear equations with critical and supercritical growth
(Pergamon-elsevier Science LtdOxfordInglaterra, 2007)