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Existence and Asymptotic Behavior of Ground States for Choquard–Pekar Equations with Hardy Potential and Critical Reaction
This paper focuses on the study of existence and asymptotic behavior of ground state solutions for the following nonautonomous Choquard–Pekar...
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An indefinite elliptic problem on \(\mathbb {R}^N\) autonomous at infinity: the crossing effect of the spectrum and the nonlinearity
We present a new approach to solve an indefinite Schrödinger Equation autonomous at infinity, by identifying the relation between the arrangement of...
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Nontrivial solutions for Klein–Gordon–Maxwell systems with sign-changing potentials
This paper is concerned with the nonlinear Klein–Gordon–Maxwell systems. Unlike all known results in the literature, the Schrödinger operator
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Nonlinear, Nonhomogeneous Robin Problems with Indefinite Potential and General Reaction
We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we...
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Periodic Waves in the Fractional Modified Korteweg–de Vries Equation
Periodic waves in the modified Korteweg–de Vries (mKdV) equation are revisited in the setting of the fractional Laplacian. Two families of solutions...
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Arithmetic and Analysis of the Series \( \sum _{n=1}^{\infty } \frac {1}{n} \sin \frac {x}{n}\) , Part II
We continue our study, started in a previous paper, on Flett function. The new results arise from the role played by some summation formulas and by...
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Superlinear Robin Problems with Indefinite Linear Part
We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases...
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Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems
The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. The bounds of the real and imaginary parts...
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Finding a Hamiltonian cycle by finding the global minimizer of a linearly constrained problem
It has been shown that a global minimizer of a smooth determinant of a matrix function corresponds to the largest cycle of a graph. When it exists,...
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A roller coaster approach to integration and Peano’s existence theorem
This is a didactic proposal on how to introduce the Newton integral in just three or four sessions in elementary courses. Our motivation for this...
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The Cayley Cubic and Differential Equations
We define Cayley structures as a field of Cayley’s ruled cubic surfaces over a four dimensional manifold and motivate their study by showing their...
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Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a Caratheodory reaction term which is...